PUBLICATIONS

• Peszynska, M.; Showalter, R. E. Multiscale Elliptic-Parabolic Systems for Flow and Transport ,
  Electron. J. Differential Equations 2007, No. 147, 30 pp. (electronic). 76S05, 35B27, 74Q15, 35R10
  
  
• Showalter, R. E. Poro-Plastic Filtration Coupled to Stokes Flow, (8 pages)
  Abousleiman, Y., Cheng, A.H.-D., and Ulm, F.-J. (eds.), Poromechanics III-Biot Centennial (1905-2005), Proceedings, 3rd Biot Conference on Poromechanics, A.A. Balkema, Leidon/London/New York/Philadelphia/Singapore, pp. 523-528, 2005.
  ICES Report 04-56.
  
  
• V. S. Manoranjan, R. Showalter, and Hong-Ming Yin On Two-Phase Stefan Problem Arising from a Microwave Heating Process, (21 pages)
  Discrete and Continuous Dynamical Systems [Series A: Mathematical Analysis] 15 (2006), 1155 - 1168.
  WSU Technical Report 2004-8.
  
  
• Showalter, R. E. Poroelastic Filtration Coupled to Stokes Flow, (15 pages)
  Lecture Notes in Pure and Applied Mathematics, vol. 242, "Control Theory of Partial Differential Equations", (Georgetown University, May, 2003), O. Imanuvilov, G. Leugering, Roberto ~Triggiani, and Bing-Yu Zhang (editors), pp. 229 - 241, Chapman & Hall, Boca Raton, 2005.
  ICES Report 04-28.
  
  
• Showalter, R. E.; Ulisse Stefanelli Diffusion in Poro-Plastic Media, (20 pages)
  Math. Methods in the Applied Sciences 27 (2004), 2131--2151.
  TICAM Report 03-22.
  
  
• Showalter, R. E. Diffusion in Deforming Porous Media, (18 pages)
  Dynamics of Continuous, Discrete and Impulsive Systems [Series A: Mathematical Analysis] 10 (2003), 661--678.
  TICAM Report 02-37.
  
  
• Visarraga, Darrin; Showalter, R. E. Double-Diffusion Models from a Highly-Heterogeneous Medium, (18 pages)
  Jour. Math. Anal. Appl. 295 (2004), 191-210.
  TICAM Report 02-23.
  
  
• Showalter, R. E.; Ning Su Partially Saturated Flow in a Composite Poroelastic Medium, (9 pages)
  Poromechanics II, (Grenoble, 2002), J.-L. Auriault et al (editors), pp.549--554, Balkema, Lisse, 2002.
  TICAM Report 02-15.
  
  
• Visarraga, Darrin; Showalter, R. E. Absorption-Delay Models of Heat Transport, (16 pages)
  Mathematical Models and Methods in Applied Sciences 13 (2003), 645-660.
  TICAM Report 02-01.
  
  
• Su, Ning; Showalter, R. E. Partially Saturated Flow in a Poroelastic Medium, (21 pages)
  Discrete Contin. Dynam. Systems [Series B: Applications & Algorithms] 1 (2001), 403-420.
  TICAM Report 01-01.
  
  
• Momken, Bahareh; Showalter, R. E. Single-phase Flow in Composite Poro-elastic Media, (25 pages)
  Math. Methods in the Applied Sciences 25 (2002), 115-139.
  TICAM Report 00-31.
  
  
• Pak, Hee-Chul; Showalter, R. E. Thin-Film Capacitance Models, (29 pages)
  Applicable Analysis 78 (2001), 415-451.
  TICAM Report 00-19.
  
  
• Showalter, R. E. Diffusion in Deformable Media, (15 pages)
  IMA Volumes in Mathematics and its Applications, vol. 131, "Resource Recovery, Confinement, and Remediation of Environmental Hazards", (Minneapolis, February, 2000), J. Chadam, A. Cunningham, R. Ewing, P. Ortoleva, and M. Wheeler (editors), pp. 115--130, Springer, New York.
  TICAM Report 00-18.
  
  
• K.-H. Hoffmann; Showalter, R. E. Vibration of a Shape Memory Alloy Wire, (12 pages)
  Communications in Applied Analysis 7 (2003), 53-66.
  TICAM Report 00-09.
  
  
• Showalter, R. E. Diffusion in Poro-Elastic Media, (25 pages)
  Jour. Math. Anal. Appl. 251 (2000), 310-340.
  TICAM Report 00-05.
  
  
• Clark, G. W.; Showalter, R. E. Two-Scale convergence of a Model for Flow in a Partially Fissured Medium,
  Electron. J. Differential Equations 1999, No. 2, 20 pp. (electronic). 76S05 (35Q35 73B27)
  
  
• Peszynska, M.; Showalter, R. E. A Transport Model with Adsorption Hysteresis, (12 pages)
  Differential and Integral Equations 11 (1998), 327-340.
  See the movie here.
  
  
• 1 600 433 Showalter, R. E.; Shi, Peter Dynamic Plasticity Models, (13 pages)
  Symposium on Advances in Computational Mechanics, Vol. 4 (Austin, TX, 1997).
  Comput. Methods Appl. Mech. Engrg. 151 (1998), no. 3-4, 501--511. (Reviewer: Martin Brokate) 73Exx
  
  
• Lectures on Flow in Porous Media, (35 pages)
  III Coloquio sobre Ecuaciones Diferenciales y Aplicaciones, Maracaibo, Venezuela,
  Angel Domingo Rueda and Jorge Gui\~nez (editors), Universidad del Zulia, 1998, pp. 53--97.
  
  
• 1 434 324 Showalter, Ralph E. Micro-Structure Models of Porous Media, (21 pages)
  in HOMOGENIZATION and POROUS MEDIA, 183--202, 259--275,
  Interdiscip. Appl. Math., 6, Springer, New York, 1997. 76S05
  
  
• J. Douglas, Jr.; M. Peszynska; Showalter, R. E. Single Phase Flow in Partially Fissured Media, (19 pages)
  Transport in Porous Media 28 (1997), 285--306.
  
  
• 1 487 262 Showalter, R. E.; Shi, Peter Plasticity models and nonlinear semigroups.
  J. Math. Anal. Appl. 216 (1997), no. 1, 218--245. (Reviewer: Martin Brokate) 73Exx (35Q72 47H20)
  
  
• 1 422 252 Showalter, R. E. MONOTONE OPERATORS in BANACH SPACE and NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
  Mathematical Surveys and Monographs, 49. American Mathematical Society, Providence, RI, 1997. xiv+278 pp.
  ISBN: 0-8218-0500-2 (Reviewer: Ioan I. Vrabie) 47N20 (35J60 35K55 47H05) is available here!
  
  
• 97h:35128 Showalter, Ralph E.; Little, Thomas D.; Hornung, Ulrich Parabolic PDE with Hysteresis, (11 pages)
  Distributed parameter systems: modelling and control (Warsaw, 1995).
  Control Cybernet. 25 (1996), no. 3, 631--643. (Reviewer: Pavel Krej\v cí) 35K85 (35K65 47H30 47N20)
  
  
• 97c:35169 Packer, L. A.; Showalter, R. E. The regularized layered medium equation.
  Appl. Anal. 58 (1995), no. 1-2, 137--155. 35Q35 (34G10 47H15)
  
  
• 96m:35314 Packer, Lindsay; Showalter, Ralph E. Distributed capacitance microstructure in conductors.
  Appl. Anal. 54 (1994), no. 3-4, 211--224. 35Q60 (47N20 78A55)
  
  
• 96j:80010 Little, T. D.; Showalter, R. E. The super-Stefan problem.
  Internat. J. Engrg. Sci. 33 (1995), no. 1, 67--75. 80A22 (35K05 35R35)
  
  
• 96j:76138 Cook, John D.; Showalter, R. E. Microstructure diffusion models with secondary flux.
  J. Math. Anal. Appl. 189 (1995), no. 3, 731--756. 76R50 (35Q35 76S05)
  
  
• 96j:35137 Hollingsworth, Brooke L.; Showalter, R. E. Semilinear degenerate parabolic systems and distributed capacitance models.
  Discrete Contin. Dynam. Systems 1 (1995), no. 1, 59--76. (Reviewer: Pierre A. Vuillermot) 35K65 (34G20 35K55 35Q35)
  
  
• 96f:76081 Clark, G. W.; Showalter, R. E. Fluid flow in a layered medium.
  Quart. Appl. Math. 52 (1994), no. 4, 777--795. (Reviewer: Jean-Luc Guermond) 76S05 (35Q35 73B27)
  
  
• 96e:35117 Hornung, Ulrich; Showalter, R. E. Elliptic-parabolic equations with hysteresis boundary conditions.
  SIAM J. Math. Anal. 26 (1995), no. 4, 775--790. (Reviewer: Nobuyuki Kenmochi) 35M10 (35K65 35R70 47H30 47N20)
  
  
• 96b:34090 Rulla, J.; Showalter, R. E. Diffusion in partially fissured media and implicit evolution systems.
  Adv. Math. Sci. Appl. 5 (1995), no. 1, 163--191. (Reviewer: Georgii A. Sviridyuk) 34G20 (35K70 47N20 76R50)
  
  
• 95h:35110 Little, T. D.; Showalter, R. E. Semilinear parabolic equations with Preisach hysteresis.
  Differential Integral Equations 7 (1994), no. 3-4, 1021--1040. (Reviewer: Maurice Gaultier) 35K55 (35R15 47H06 47H30 47N20)
  
  
• 95g:35001 Showalter, R. E. HILBERT SPACE METHODS for PARTIAL DIFFERENTIAL EQUATIONS.
  Electronic reprint of the 1977 original. Electronic Monographs in Differential Equations, San Marcos, TX, 1994. iii+242 pp.;
  is available here. 35-01 (47-01 47N20)
  
  
• 95a:76091 Showalter, Ralph E. Distributed microstructure models of porous media.
  Flow in porous media (Oberwolfach, 1992), 155--163, Internat. Ser. Numer. Math., 114, Birkhäuser, Basel, 1993. 76S05 (35B27 35K99 73B27)
  
  
• 94i:35190 Cook, John D.; Showalter, R. E. Distributed systems of PDE in Hilbert space.
  Differential Integral Equations 6 (1993), no. 5, 981--994. (Reviewer: Mei Ke Zhou) 35R20 (34G20 35K22 35Q35 47H20 47N20)
  
  
• 94h:35086 Ulrich Hornung; Showalter, R. E. PDE-Models with Hysteresis on the Boundary, (10 pages)
  in Models of hysteresis (Trento, 1991), 30--38,
  Pitman Res. Notes Math. Ser., 286, Longman Sci. Tech., Harlow, 1993. (Reviewer: J. R. Ockendon) 35K20 (47H30 47N20 76S05 93C10)
  
  
• 94a:35034 Showalter, R. E.; Walkington, N. J. Elliptic systems for a medium with microstructure.
  Geometric analysis and nonlinear partial differential equations (Denton, TX, 1990), 91--104,
  Lecture Notes in Pure and Appl. Math., 144, Dekker, New York, 1993. (Reviewer: Wolfgang Rüprich) 35J50 (35B30 35J70 73B05 73V25)
  
  
• 92j:35084 Showalter, R. E.; Walkington, N. J. Diffusion of fluid in a fissured medium with microstructure.
  SIAM J. Math. Anal. 22 (1991), no. 6, 1702--1722. (Reviewer: L. Hsiao) 35K50 (35K65 76R50 76S05)
  
  
• 92h:35244 Showalter, R. E.; Walkington, N. J. A hyperbolic Stefan problem.
  Current directions in nonlinear partial differential equations (Provo, UT, 1987).
  Rocky Mountain J. Math. 21 (1991), no. 2, 787--797. (Reviewer: P. D. Panagiotopoulos) 35R35 (35L10 49J20 80A22)
  
  
• 92e:35138 Showalter, R. E.; Walkington, N. J. Micro-structure models of diffusion in fissured media.
  J. Math. Anal. Appl. 155 (1991), no. 1, 1--20. (Reviewer: Paul G. Schmidt) 35Q35 (35A15 76R50 76S05)
  
  
• 91d:76072 Hornung, Ulrich; Showalter, Ralph E. Diffusion models for fractured media.
  J. Math. Anal. Appl. 147 (1990), no. 1, 69--80. (Reviewer: Yanis C. Yortsos) 76R50 (73B27 76S05)
  
  
• 91c:35081 Showalter, Ralph E.; Walkington, Noel J. A diffusion system for fluid in fractured media.
  Differential Integral Equations 3 (1990), no. 2, 219--236. (Reviewer: Peter Knabner) 35K65 (35K60 35R35 76R50 76S05 76T05)
  
  
• 90k:35170 Showalter, R. E.; Xu, Xiang Sheng An approximate scalar conservation law from dynamics of gas absorption.
  J. Differential Equations 83 (1990), no. 1, 145--165. 35L65 (47H15 76S05)
  
  
• 1 216 383 Showalter, R. E. Diffusion in a fissured medium with micro-structure.
  Free boundary problems in fluid flow with applications (Montreal, PQ, 1990), 136--141,
  Pitman Res. Notes Math. Ser., 282, Longman Sci. Tech., Harlow, 1993. 76S05 (76R50)
  
  
• 1 081 782 Showalter, R. E.; Walkington, N. J. A hyperbolic Stefan problem.
  Free boundary problems: theory and applications, Vol. II (Irsee, 1987), 840--844,
  Pitman Res. Notes Math. Ser., 186, Longman Sci. Tech., Harlow, 1990. 35R35 (34G20 35L20)
  
  
• 90m:35103 Bosse, Marie-Pascale; Showalter, R. E. Homogenization of the layered medium equation.
  Appl. Anal. 32 (1989), no. 3-4, 183--202. (Reviewer: Lumin Jiang) 35K99 (35B25 35B40 94C05)
  
  
• 90f:65163 Carey, G. F.; Jiang, B.-N.; Showalter, R. A regularization-stabilization technique for nonlinear conservation equations.
  Numer. Methods Partial Differential Equations 4 (1988), no. 3, 165--171. 65M60
  
  
• 90d:78006 Showalter, R. E.; Xu, Xiangsheng Convergence of diffusion with concentrating capacity.
  J. Math. Anal. Appl. 137 (1989), no. 1, 132--147. (Reviewer: D. Hinton) 78A30 (35B25)
  
  
• 1 026 248 Showalter, R. E. Implicit evolution equations.
  Differential equations and applications, Vol. I, II (Columbus, OH, 1988), 404--411, Ohio Univ. Press, Athens, OH, 1989. 35K99 (76Rxx 76S05)
  
  
• 89d:35190 Showalter, R. E.; Walkington, N. J. A hyperbolic Stefan problem.
  Quart. Appl. Math. 45 (1987), no. 4, 769--781. (Reviewer: Vasilios Alexiades) 35R35 (35L99 80A20)
  
  
• 89b:35171 Rulla, Jim; Showalter, R. E. Diffusion with prescribed convection in fissured media.
  Differential Integral Equations 1 (1988), no. 3, 315--325. (Reviewer: Li Shang Jiang) 35R35 (35K50 80A20)
  
  
• 88d:76057 Showalter, R. E. The fissured medium equation.
  Physical mathematics and nonlinear partial differential equations (Morgantown, W. Va., 1983), 199--205,
  Lecture Notes in Pure and Appl. Math., 102, Dekker, New York, 1985. (Reviewer: M. Shearer) 76S05 (35Q20)
  
  
• 87k:35124 Böhm, Michael; Showalter, R. E. A nonlinear pseudoparabolic diffusion equation.
  SIAM J. Math. Anal. 16 (1985), no. 5, 980--999. (Reviewer: Jean Genet) 35K55
  
  
• 87f:35121 Showalter, R. E. Cauchy problem for hyperparabolic partial differential equations.
  Trends in the theory and practice of nonlinear analysis (Arlington, Tex., 1984), 421--425,
  North-Holland Math. Stud., 110, North-Holland, Amsterdam-New York, 1985. (Reviewer: J. A. Donaldson) 35K15 (35D05)
  
  
• 86k:65115 Showalter, R. E. VARIATIONAL THEORY and APPROXIMATION of BOUNDARY VALUE PROBLEMS.
  Numerical analysis, Lancaster 1984 (Lancaster, 1984), 140--179,
  Lecture Notes in Math., 1129, Springer, Berlin-New York, 1985. (Reviewer: William W. Hager) 65N30
  
  
• 86h:76055 Böhm, Michael; Showalter, R. E. Diffusion in fissured media.
  SIAM J. Math. Anal. 16 (1985), no. 3, 500--509. (Reviewer: Vasile M. Ionescu) 76S05 (35Q20 76A02)
  
  
• 85k:35122 Showalter, Ralph E. A singular quasilinear diffusion equation in $L\sp{1}$.
  J. Math. Soc. Japan 36 (1984), no. 2, 177--189. (Reviewer: Jürgen Appell) 35K60 (34G20)
  
  
• 85i:35088 Showalter, R. E. Local regularity, boundary values and maximum principles for pseudoparabolic equations.
  Applicable Anal. 16 (1983), no. 3, 235--241. 35K70 (35B50)
  
  
• 85f:35121 Showalter, R. E. Two Stefan problems for a degenerate parabolic system.
  Dynamical systems, II (Gainesville, Fla., 1981), 367--374, Academic Press, New York-London, 1982. (Reviewer: William Rundell) 35K65 (35R35 80A20)
  
  
• 84m:35124 DiBenedetto, Emmanuele; Showalter, R. E. A free-boundary problem for a degenerate parabolic system.
  J. Differential Equations 50 (1983), no. 1, 1--19. (Reviewer: Mario Primicerio) 35R35 (35K65 76S05 80A20)
  
  
• 84b:35070 Showalter, R. E. Degenerate nonlinear parabolic systems and free-boundary problems.
  Applied nonlinear functional analysis (Berlin, 1981), pp. 289--300, Methoden Verfahren Math. Phys., 25, Lang, Frankfurt, 1983. 35K65 (35R35 80A15)
  
  
• 83m:80009 Showalter, R. E. Mathematical formulation of the Stefan problem.
  Internat. J. Engrg. Sci. 20 (1982), no. 8, 909--912. (Reviewer: Emmanuele di Benedetto) 80A20 (35R35)
  
  
• 83m:35082 DiBenedetto, Emmanuele; Showalter, R. E. A pseudoparabolic variational inequality and Stefan problem.
  Nonlinear Anal. 6 (1982), no. 3, 279--291. (Reviewer: William Rundell) 35K85 (47H05 49A29)
  
  
• 83i:47070 DiBenedetto, Emmanuele; Showalter, R. E. Implicit degenerate evolution equations and applications.
  SIAM J. Math. Anal. 12 (1981), no. 5, 731--751. (Reviewer: Gregory B. Passty) 47H15 (34G20 35K65)
  
  
• 82c:34077 Showalter, R. E. Singular nonlinear evolution equations.
  Rocky Mountain J. Math. 10 (1980), no. 3, 499--507. (Reviewer: A. Pazy) 34G20 (34A60 47H05 49A50)
  
  
• 82a:47035 Showalter, R. E. Perturbation of maximal accretive operators with right angle.
  Portugal. Math. 36 (1977), no. 2, 79--82 (1980). (Reviewer: K. K. Oberai) 47B44
  
  
• 80k:34081 Showalter, R. E. Initial and final value problems for degenerate parabolic evolution systems.
  Indiana Univ. Math. J. 28 (1979), no. 6, 883--893. (Reviewer: J. E. Lagnese) 34G10 (35K22)
  
  
• 80h:35033 Showalter, R. E. Degenerate parabolic initial-boundary value problems.
  J. Differential Equations 31 (1979), no. 3, 296--312. (Reviewer: Curtis C. Travis) 35G30 (34G10 35K65)
  
  
• 80g:49007 Showalter, R. E. A Green's formula for weak solutions of variational problems.
  Applied nonlinear analysis (Proc. Third Internat. Conf., Univ. Texas, Arlington, Tex., 1978), pp. 381--387, Academic Press, New York-London, 1979. (Reviewer: Alfonso Castro) 49A22 (35A15 49A29)
  
  
• 80g:34067 Showalter, R. E. Sobolev equations for nonlinear dispersive systems.
  Applicable Anal. 7 (1977/78), no. 4, 297--308. (Reviewer: W. Güttinger) 34G20 (35Q20)
  
  
• 58 #7204 Goldstein, Jerome A.; Radin, Charles; Showalter, R. E. Convergence rates of ergodic limits for semigroups and cosine functions.
  Semigroup Forum 16 (1978), no. 1, 89--95. (Reviewer: G. F. Webb) 47D05 (47A35)
  
  
• 57 #16922 Showalter, R. E. HILBERT SPACE METHODS for PARTIAL DIFFERENTIAL EQUATIONS.
  Monographs and Studies in Mathematics, Vol. 1. Pitman, London-San Francisco, Calif.-Melbourne, 1977. xii+196 pp.
  ISBN: 0-273-01012-3 (Reviewer: P. Szeptycki) 35-01 (47-01)
  
  
• 57 #16889 Showalter, R. E. Quasi-reversibility of first and second order parabolic evolution equations.
  Improperly posed boundary value problems (Conf., Univ. New Mexico, Albuquerque, N.M., 1974), pp. 76--84.
  Res. Notes in Math., No. 1, Pitman, London, 1975. 34G05 (35K99 47D05)
  
  
• 57 #834 Carroll, Robert Wayne; Showalter, Ralph E. SINGULAR and DEGENERATE CAUCHY PROBLEMS.
  Mathematics in Science and Engineering, Vol. 127. Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. viii+333 pp.
  ISBN: 0-12-161450-6 (Reviewer: J. E. Lagnese) 35-02 (58G99)
  
  
• 56 #16176 Showalter, R. E. Well-posed problems for some nonlinear dispersive waves.
  J. Math. Pures Appl. (9) 56 (1977), no. 2, 123--135. (Reviewer: Alan Jeffrey) 35Q99 (76.35)
  
  
• 54 #10794 Showalter, R. E. Regularization and approximation of second order evolution equations.
  SIAM J. Math. Anal. 7 (1976), no. 4, 461--472. (Reviewer: M. Artola) 34G05 (35R20)
  
  
• 54 #3196 Showalter, R. E. The Sobolev equation. II.
  Applicable Anal. 5 (1975), no. 2, 81--99. (Reviewer: Tapas Mazumdar) 35R20
  
  
• 54 #3195 Showalter, R. E. The Sobolev equation. I.
  Applicable Anal. 5 (1975), no. 1, 15--22. (Reviewer: Tapas Mazumdar) 35R20
  
  
• 52 #15154a Showalter, R. E. Nonlinear degenerate evolution equations and partial differential equations of mixed type.
  SIAM J. Math. Anal. 6 (1975), 25--42. (Reviewer: J. A. Goldstein) 47H15 (35R20)
  
  
• 52 #15154b Showalter, R. E. Errata to: "Nonlinear degenerate evolution equations and partial differential equations of mixed type" (SIAM J. Math Anal. {\bf 6} (1975), 25--42). SIAM J. Math. Anal. 7 (1976), no. 3, 358. (Reviewer: J. A. Goldstein) 47H15 (35R20)
  
  
• 52 #12355 Showalter, R. E. A priori error estimates for approximation of parabolic boundary value problems.
  SIAM J. Numer. Anal. 12 (1975), 456--463. (Reviewer: G. W. Hedstrom) 65N15
  
  
• 50 #13924 Showalter, R. E. A nonlinear parabolic-Sobolev equation.
  J. Math. Anal. Appl. 50 (1975), 183--190. (Reviewer: J. E. Lagnese) 35Q99 (47H15)
  
  
• 50 #5131 Showalter, R. E. The final value problem for evolution equations.
  J. Math. Anal. Appl. 47 (1974), 563--572. (Reviewer: H. O. Fattorini) 34G05 (47D05)
  
  
• 48 #12172 Showalter, R. E. Continuity of maximal monotone sets in Banach space.
  Proc. Amer. Math. Soc. 42 (1973), 543--546. (Reviewer: R. Kannan) 47H05
  
  
• 48 #12157 Showalter, R. E. Degenerate evolution equations and applications.
  Indiana Univ. Math. J. 23 (1974), 655--677. (Reviewer: J. E. Lagnese) 47F05 (35R20)
  
  
• 47 #7517 Showalter, R. E. Equations with operators forming a right angle.
  Pacific J. Math. 45 (1973), 357--362. (Reviewer: J. E. Lagnese) 47D05 (47B44)
  
  
• 47 #5414 Showalter, R. E.; Ting, T. W. Asymptotic behavior of solutions of pseudo-parabolic partial differential equations.
  Ann. Mat. Pura Appl. (4) 90 (1971), 241--258. (Reviewer: Howard A. Levine) 35B40
  
  
• 47 #3788 Showalter, R. E. Existence and representation theorems for a semilinear Sobolev equation in Banach space.
  SIAM J. Math. Anal. 3 (1972), 527--543. (Reviewer: G. Ladas) 34G05 (47H15)
  
  
• 45 #2342 Showalter, R. E. Weak solutions of nonlinear evolution equations of Sobolev-Galpern type.
  J. Differential Equations 11 (1972), 252--265. (Reviewer: J. E. Lagnese) 35R20 (47H15)
  
  
• 42 #2153 Showalter, R. E. Local regularity of solutions of Sobolev-Galpern partial differential equations.
  Pacific J. Math. 34 1970 781--787. (Reviewer: N. Shimakura) 35.24
  
  
• 41 #5787 Showalter, R. E. Well-posed problems for a partial differential equation of order $2m+1$.
  SIAM J. Math. Anal. 1 1970 214--231. (Reviewer: J. E. Lagnese) 35.65
  
  
• 40 #6085 Showalter, R. E. Partial differential equations of Sobolev-Galpern type.
  Pacific J. Math. 31 1969 787--793. (Reviewer: J. E. Lagnese) 35.79
  
  
• 55 #10857 Showalter, R. E.; Ting, T. W. Pseudoparabolic partial differential equations.
  SIAM J. Math. Anal. 1 (1970), 1--26. 35K99
  
  
• 50 #10389 Advances in differential and integral equations. A collection of papers presented at the Conference on Qualitative Theory of Nonlinear Differential and Integral Equations held at the University of Wisconsin, Madison, Wis., August 12--23, 1968. In memoriam: Rudolph E. Langer (March 8, 1894 to March 11, 1968). Edited by John A. Nohel. Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1969. xvi+207 pp. 34-06 (35-06 45-06)