Edit Profile (opens in new tab) Showalter, Ralph E. Compute Distance To: Compute Author ID: showalter.ralph-e Published as: Showalter, R. E.; Showalter, Ralph E.; Showalter, R.; Showalter, Ralph more...less Homepage: http://math.oregonstate.edu/people/view/show Documents Indexed: 102 Publications since 1969, including 3 Books 2 Contributions as Editor Co-Authors: 37 Co-Authors with 58 Joint Publications 883 Co-Co-Authors all top 5 Co-Authors 44 single-authored 8 Peszyńska, Małgorzata 8 Walkington, Noel J. 4 Hornung, Ulrich 3 DiBenedetto, Emmanuele 3 Little, Thomas D. 3 Morales, Fernando A. 2 Clark, Gordon W. 2 Cook, John D. 2 Packer, L. A. 2 Rulla, Jim 2 Shi, Peter 2 Ting, Tsuan Wu 2 Visarraga, D. B. 2 Xu, Xiangsheng 2 Yin, Hongming 1 Bosse, Marie-Pascale 1 Carey, Graham Francis 1 Gibson, Nathan L. 1 Goldstein, Jerome Arthur 1 Hoffmann, Karl-Heinz 1 Holland, Eleanor 1 Hollingsworth, Brooke L. 1 Hosseinkhan, Alireza 1 Jiang, Bo-Nan 1 Manoranjan, Valipuram S. 1 Miranville, Alain M. 1 Momken, Bahareh 1 Nguetseng, Gabriel 1 Pak, Hee Chul 1 Patricia Medina, F. 1 Peter, Malte Andreas 1 Radin, Charles 1 Spagnuolo, Anna Maria 1 Stefanelli, Ulisse 1 Su, Ning 1 Webster, Justin T. 1 Woukeng, Jean Louis all top 5 Serials 13 Journal of Mathematical Analysis and Applications 13 SIAM Journal on Mathematical Analysis 9 Applicable Analysis 5 Differential and Integral Equations 4 Mathematical Methods in the Applied Sciences 4 Journal of Differential Equations 3 Rocky Mountain Journal of Mathematics 3 Pacific Journal of Mathematics 3 Electronic Journal of Differential Equations (EJDE) 3 Discrete and Continuous Dynamical Systems 3 International Journal of Numerical Analysis and Modeling 2 International Journal of Engineering Science 2 Indiana University Mathematics Journal 2 Quarterly of Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Control and Cybernetics 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Portugaliae Mathematica 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Mathematical Sciences and Applications 1 Communications in Applied Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Electronic Journal of Differential Equations. Monograph 1 Mathematical Surveys and Monographs 1 Nonlinear Analysis. Theory, Methods & Applications 1 Monographs and Studies in Mathematics all top 5 Fields 87 Partial differential equations (35-XX) 36 Fluid mechanics (76-XX) 27 Operator theory (47-XX) 17 Mechanics of deformable solids (74-XX) 8 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 1,973 times in 1,533 Documents Cited by ▼ Year ▼ Monotone operators in Banach space and nonlinear partial differential equations. Zbl 0870.35004Showalter, R. E. 558 1997 Pseudoparabolic partial differential equations. Zbl 0199.42102Showalter, R. E.; Ting, T. W. 187 1970 Hilbert space methods for partial differential equations. Zbl 0364.35001Showalter, R. E. 121 1977 Diffusion in poro-elastic media. Zbl 0979.74018Showalter, R. E. 118 2000 The final value problem for evolution equations. Zbl 0296.34059Showalter, R. E. 86 1974 Implicit degenerate evolution equations and applications. Zbl 0477.47037DiBenedetto, Emmanuele; Showalter, R. E. 75 1981 Existence and representation theorems for a semilinear Sobolev equation in Banach space. Zbl 0262.34047Showalter, R. E. 59 1972 Diffusion of fluid in a fissured medium with microstructure. Zbl 0764.35053Showalter, R. E.; Walkington, N. J. 43 1991 Hilbert space methods for partial differential equations. Electronic reprint of the 1977 original. Zbl 0991.35001Showalter, R. E. 36 1994 Partial differential equations of Sobolev-Galpern type. Zbl 0185.19002Showalter, R. E. 35 1969 Poroelastic filtration coupled to Stokes flow. Zbl 1084.76070Showalter, Ralph E. 34 2005 Nonlinear degenerate evolution equations and partial differential equations of mixed type. Zbl 0268.35045Showalter, R. E. 34 1975 Degenerate evolution equations and applications. Zbl 0281.34061Showalter, R. E. 32 1974 The narrow fracture approximation by channeled flow. Zbl 1273.76370Morales, Fernando; Showalter, R. E. 25 2010 Two-scale convergence of a model for flow in a partially fissured medium. Zbl 0914.35013Clark, G. W.; Showalter, R. E. 24 1999 Diffusion models for fractured media. Zbl 0703.76080Hornung, Ulrich; Showalter, Ralph E. 21 1990 Sobolev equations for nonlinear dispersive systems. Zbl 0387.34043Showalter, R. E. 21 1978 The Sobolev equation. I. Zbl 0347.35073Showalter, R. E. 21 1975 The Sobolev equation. II. Zbl 0347.35074Showalter, R. E. 19 1975 Partially saturated flow in a poroelastic medium. Zbl 1004.76090Showalter, R. E.; Su, Ning 18 2001 Cauchy problem for hyper-parabolic partial differential equations. Zbl 0587.35044Showalter, R. E. 17 1985 Diffusion in poro-plastic media. Zbl 1095.74011Showalter, R. E.; Stefanelli, U. 16 2004 Micro-structure models of diffusion in fissured media. Zbl 0711.60078Showalter, R. E.; Walkington, N. J. 15 1991 A nonlinear parabolic-Sobolev equation. Zbl 0296.35047Showalter, R. E. 15 1975 Homogenization of a pseudoparabolic system. Zbl 1181.35018Peszyńska, Małgorzata; Showalter, Ralph; Yi, Son-Young 15 2009 A hyperbolic Stefan problem. Zbl 0649.35086Showalter, R. E.; Walkington, N. J. 14 1987 Degenerate parabolic initial-boundary value problems. Zbl 0416.35038Showalter, R. E. 14 1979 Weak solutions of nonlinear evolution equations of Sobolev-Galpern type. Zbl 0232.35027Showalter, R. E. 14 1972 Convergence rates of ergodic limits for semigroups and cosine functions. Zbl 0393.47004Goldstein, Jerome A.; Radin, Charles; Showalter, R. E. 13 1978 A nonlinear pseudoparabolic diffusion equation. Zbl 0584.35063Böhm, Michael; Showalter, R. E. 12 1985 Nonlinear degenerate evolution equations in mixed formulation. Zbl 1237.47079Showalter, R. E. 12 2010 Well-posed problems for a partial differential equation of order 2m + 1. Zbl 0199.42103Showalter, R. E. 12 1970 Diffusion in fissured media. Zbl 0613.76103Böhm, Michael; Showalter, R. E. 11 1985 A Darcy-Brinkman model of fractures in porous media. Zbl 1404.74150Morales, Fernando A.; Showalter, Ralph E. 11 2017 A singular quasilinear diffusion equation in \(L^ 1\). Zbl 0522.35057Showalter, Ralph E. 10 1984 Single-phase flow in composite poroelastic media. Zbl 1097.35067Showalter, R. E.; Momken, Bahareh 10 2002 Distributed microstructure models of porous media. Zbl 0805.76082Showalter, Ralph E. 9 1993 Regularization and approximation of second order evolution equations. Zbl 0364.35047Showalter, R. E. 9 1976 On two-phase Stefan problem arising from a microwave heating process. Zbl 1129.35085Manoranjan, V. S.; Showalter, R.; Yin, Hong-Ming 9 2006 Interface approximation of Darcy flow in a narrow channel. Zbl 1235.35022Morales, Fernando; Showalter, Ralph E. 9 2012 A pseudo-parabolic variational inequality and Stefan problem. Zbl 0497.35050DiBenedetto, E.; Showalter, R. E. 9 1982 Multiscale elliptic-parabolic systems for flow and transport. Zbl 1137.76064Peszynska, Malgorzata; Showalter, Ralph E. 9 2007 Double-diffusion models from a highly-heterogeneous medium. Zbl 1049.35033Showalter, R. E.; Visarraga, D. B. 9 2004 Asymptotic behavior of solutions of pseudo-parabolic partial differential equations. Zbl 0244.35012Showalter, R. E.; Ting, T. W. 9 1971 Quasi-reversibility of first and second order parabolic evolution equations. Zbl 0318.35073Showalter, R. E. 8 1975 A transport model with adsorption hysteresis. Zbl 1004.35033Peszyńska, M.; Showalter, R. E. 7 1998 Local regularity of solutions of Sobolev-Galpern partial differential equations. Zbl 0202.11202Showalter, R. E. 7 1970 A free-boundary problem for a degenerate parabolic system. Zbl 0476.35083DiBenedetto, Emmanuele; Showalter, R. E. 5 1983 Parabolic PDE with hysteresis. Zbl 0856.35142Showalter, Ralph E.; Little, Thomas D.; Hornung, Ulrich 5 1996 Evolution of phase transitions in methane hydrate. Zbl 1310.35051Gibson, Nathan L.; Patricia Medina, F.; Peszynska, Malgorzata; Showalter, Ralph E. 5 2014 Diffusion in deforming porous media. Zbl 1122.76394Showalter, R. E. 5 2003 Fluid flow in a layered medium. Zbl 0815.35038Clark, G. W.; Showalter, R. E. 4 1994 Microstructure diffusion models with secondary flux. Zbl 0831.35138Cook, John D.; Showalter, R. E. 4 1995 Singular nonlinear evolution equations. Zbl 0462.47048Showalter, R. E. 4 1980 Local regularity, boundary values and maximum principles for pseudoparabolic equations. Zbl 0507.35047Showalter, R. E. 4 1983 A diffusion system for fluid in fractured media. Zbl 0753.35045Showalter, Ralph E.; Walkington, Noel J. 3 1990 Plasticity models and nonlinear semigroups. Zbl 0897.35051Showalter, R. E.; Shi, Peter 3 1997 A Green’s formula for weak solutions of variational problems. Zbl 0466.35019Showalter, R. E. 3 1979 PDE-models with hysteresis on the boundary. Zbl 0793.35137Hornung, U.; Showalter, R. E. 3 1993 Elliptic systems for a medium with microstructure. Zbl 0823.35063Showalter, R. E.; Walkington, N. J. 3 1993 Semilinear parabolic equations with Preisach hysteresis. Zbl 0811.35068Little, T. D.; Showalter, R. E. 3 1994 Elliptic-parabolic equations with hysteresis boundary conditions. Zbl 0834.35063Hornung, Ulrich; Showalter, R. E. 3 1995 Homogenization of the layered medium equation. Zbl 0631.35048Bosse, Marie-Pascale; Showalter, R. E. 3 1989 Mathematical formulation of the Stefan problem. Zbl 0506.76103Showalter, R. E. 3 1982 Diffusion in deformable media. Zbl 1029.74016Showalter, R. E. 3 2002 Advection of methane in the hydrate zone: model, analysis and examples. Zbl 1338.47126Peszynska, Malgorzata; Showalter, Ralph E.; Webster, Justin T. 3 2015 Convergence of diffusion with concentrating capacity. Zbl 0701.35080Showalter, R. E.; Xu, Xiangsheng 2 1989 Diffusion with prescribed convection in fissured media. Zbl 0723.76088Rulla, Jim; Showalter, R. E. 2 1988 The super-Stefan problem. Zbl 0899.35125Little, T. D.; Showalter, R. E. 2 1995 Well-posed problems for some nonlinear dispersive waves. Zbl 0362.35032Showalter, R. E. 2 1977 Initial and final-value problems for degenerate parabolic evolution systems. Zbl 0456.35046Showalter, R. E. 2 1979 Equations with operators forming a right angle. Zbl 0256.47011Showalter, R. E. 2 1973 Continuity of maximal monotone sets in Banach space. Zbl 0286.47031Showalter, R. E. 2 1974 Errata: Nonlinear degenerate evolution equations and partial differential equations of mixed type. Zbl 0325.35041Showalter, R. E. 2 1976 Semilinear degenerate parabolic systems and distributed capacitance models. Zbl 0874.35058Hollingsworth, Brooke L.; Showalter, R. E. 1 1995 An approximate scalar conservation law from dynamics of gas absorption. Zbl 0702.35161Showalter, R. E.; Xu, Xiangsheng 1 1990 Implicit evolution equations. Zbl 0723.35040Showalter, R. E. 1 1989 A hyperbolic Stefan problem. Zbl 0732.35112Showalter, R. E.; Walkington, N. J. 1 1991 Diffusion in a fissured medium with micro-structure. Zbl 0804.76084Showalter, R. E. 1 1993 The regularized layered medium equation. Zbl 0832.35064Packer, L. A.; Showalter, R. E. 1 1995 Distributed capacitance microstructure in conductors. Zbl 0837.35067Packer, Lindsay; Showalter, Ralph E. 1 1994 A regularization-stabilization technique for nonlinear conservation equation computations. Zbl 0647.65066Carey, G. F.; Jiang, B. N.; Showalter, R. 1 1988 Perturbation of maximal accretive operators with right angle. Zbl 0431.47017Showalter, R. E. 1 1977 Vibration of a shape memory alloy wire. Zbl 1085.35047Hoffmann, K.-H.; Showalter, R. E. 1 2003 Degenerate nonlinear parabolic systems and free-boundary problems. Zbl 0501.35079Showalter, R. E. 1 1983 Homogenization of secondary-flux models of partially fissured media. Zbl 1165.76051Peter, Malte A.; Showalter, Ralph E. 1 2008 Absorption-delay models of heat transport. Zbl 1047.35056Showalter, R. E.; Visarraga, D. B. 1 2003 Dynamic plasticity models. Zbl 0906.73029Showalter, R. E.; Shi, Peter 1 1998 A priori error estimates for approximation parabolic boundary value problems. Zbl 0323.35044Showalter, R. E. 1 1975 Diffusion of a single-phase fluid through a general deterministic partially-fissured medium. Zbl 1297.35024Nguetseng, Gabriel; Showalter, Ralph E.; Woukeng, Jean Louis 1 2014 A Darcy-Brinkman model of fractures in porous media. Zbl 1404.74150Morales, Fernando A.; Showalter, Ralph E. 11 2017 Advection of methane in the hydrate zone: model, analysis and examples. Zbl 1338.47126Peszynska, Malgorzata; Showalter, Ralph E.; Webster, Justin T. 3 2015 Evolution of phase transitions in methane hydrate. Zbl 1310.35051Gibson, Nathan L.; Patricia Medina, F.; Peszynska, Malgorzata; Showalter, Ralph E. 5 2014 Diffusion of a single-phase fluid through a general deterministic partially-fissured medium. Zbl 1297.35024Nguetseng, Gabriel; Showalter, Ralph E.; Woukeng, Jean Louis 1 2014 Interface approximation of Darcy flow in a narrow channel. Zbl 1235.35022Morales, Fernando; Showalter, Ralph E. 9 2012 The narrow fracture approximation by channeled flow. Zbl 1273.76370Morales, Fernando; Showalter, R. E. 25 2010 Nonlinear degenerate evolution equations in mixed formulation. Zbl 1237.47079Showalter, R. E. 12 2010 Homogenization of a pseudoparabolic system. Zbl 1181.35018Peszyńska, Małgorzata; Showalter, Ralph; Yi, Son-Young 15 2009 Homogenization of secondary-flux models of partially fissured media. Zbl 1165.76051Peter, Malte A.; Showalter, Ralph E. 1 2008 Multiscale elliptic-parabolic systems for flow and transport. Zbl 1137.76064Peszynska, Malgorzata; Showalter, Ralph E. 9 2007 On two-phase Stefan problem arising from a microwave heating process. Zbl 1129.35085Manoranjan, V. S.; Showalter, R.; Yin, Hong-Ming 9 2006 Poroelastic filtration coupled to Stokes flow. Zbl 1084.76070Showalter, Ralph E. 34 2005 Diffusion in poro-plastic media. Zbl 1095.74011Showalter, R. E.; Stefanelli, U. 16 2004 Double-diffusion models from a highly-heterogeneous medium. Zbl 1049.35033Showalter, R. E.; Visarraga, D. B. 9 2004 Diffusion in deforming porous media. Zbl 1122.76394Showalter, R. E. 5 2003 Vibration of a shape memory alloy wire. Zbl 1085.35047Hoffmann, K.-H.; Showalter, R. E. 1 2003 Absorption-delay models of heat transport. Zbl 1047.35056Showalter, R. E.; Visarraga, D. B. 1 2003 Single-phase flow in composite poroelastic media. Zbl 1097.35067Showalter, R. E.; Momken, Bahareh 10 2002 Diffusion in deformable media. Zbl 1029.74016Showalter, R. E. 3 2002 Partially saturated flow in a poroelastic medium. Zbl 1004.76090Showalter, R. E.; Su, Ning 18 2001 Diffusion in poro-elastic media. Zbl 0979.74018Showalter, R. E. 118 2000 Two-scale convergence of a model for flow in a partially fissured medium. Zbl 0914.35013Clark, G. W.; Showalter, R. E. 24 1999 A transport model with adsorption hysteresis. Zbl 1004.35033Peszyńska, M.; Showalter, R. E. 7 1998 Dynamic plasticity models. Zbl 0906.73029Showalter, R. E.; Shi, Peter 1 1998 Monotone operators in Banach space and nonlinear partial differential equations. Zbl 0870.35004Showalter, R. E. 558 1997 Plasticity models and nonlinear semigroups. Zbl 0897.35051Showalter, R. E.; Shi, Peter 3 1997 Parabolic PDE with hysteresis. Zbl 0856.35142Showalter, Ralph E.; Little, Thomas D.; Hornung, Ulrich 5 1996 Microstructure diffusion models with secondary flux. Zbl 0831.35138Cook, John D.; Showalter, R. E. 4 1995 Elliptic-parabolic equations with hysteresis boundary conditions. Zbl 0834.35063Hornung, Ulrich; Showalter, R. E. 3 1995 The super-Stefan problem. Zbl 0899.35125Little, T. D.; Showalter, R. E. 2 1995 Semilinear degenerate parabolic systems and distributed capacitance models. Zbl 0874.35058Hollingsworth, Brooke L.; Showalter, R. E. 1 1995 The regularized layered medium equation. Zbl 0832.35064Packer, L. A.; Showalter, R. E. 1 1995 Hilbert space methods for partial differential equations. Electronic reprint of the 1977 original. Zbl 0991.35001Showalter, R. E. 36 1994 Fluid flow in a layered medium. Zbl 0815.35038Clark, G. W.; Showalter, R. E. 4 1994 Semilinear parabolic equations with Preisach hysteresis. Zbl 0811.35068Little, T. D.; Showalter, R. E. 3 1994 Distributed capacitance microstructure in conductors. Zbl 0837.35067Packer, Lindsay; Showalter, Ralph E. 1 1994 Distributed microstructure models of porous media. Zbl 0805.76082Showalter, Ralph E. 9 1993 PDE-models with hysteresis on the boundary. Zbl 0793.35137Hornung, U.; Showalter, R. E. 3 1993 Elliptic systems for a medium with microstructure. Zbl 0823.35063Showalter, R. E.; Walkington, N. J. 3 1993 Diffusion in a fissured medium with micro-structure. Zbl 0804.76084Showalter, R. E. 1 1993 Diffusion of fluid in a fissured medium with microstructure. Zbl 0764.35053Showalter, R. E.; Walkington, N. J. 43 1991 Micro-structure models of diffusion in fissured media. Zbl 0711.60078Showalter, R. E.; Walkington, N. J. 15 1991 A hyperbolic Stefan problem. Zbl 0732.35112Showalter, R. E.; Walkington, N. J. 1 1991 Diffusion models for fractured media. Zbl 0703.76080Hornung, Ulrich; Showalter, Ralph E. 21 1990 A diffusion system for fluid in fractured media. Zbl 0753.35045Showalter, Ralph E.; Walkington, Noel J. 3 1990 An approximate scalar conservation law from dynamics of gas absorption. Zbl 0702.35161Showalter, R. E.; Xu, Xiangsheng 1 1990 Homogenization of the layered medium equation. Zbl 0631.35048Bosse, Marie-Pascale; Showalter, R. E. 3 1989 Convergence of diffusion with concentrating capacity. Zbl 0701.35080Showalter, R. E.; Xu, Xiangsheng 2 1989 Implicit evolution equations. Zbl 0723.35040Showalter, R. E. 1 1989 Diffusion with prescribed convection in fissured media. Zbl 0723.76088Rulla, Jim; Showalter, R. E. 2 1988 A regularization-stabilization technique for nonlinear conservation equation computations. Zbl 0647.65066Carey, G. F.; Jiang, B. N.; Showalter, R. 1 1988 A hyperbolic Stefan problem. Zbl 0649.35086Showalter, R. E.; Walkington, N. J. 14 1987 Cauchy problem for hyper-parabolic partial differential equations. Zbl 0587.35044Showalter, R. E. 17 1985 A nonlinear pseudoparabolic diffusion equation. Zbl 0584.35063Böhm, Michael; Showalter, R. E. 12 1985 Diffusion in fissured media. Zbl 0613.76103Böhm, Michael; Showalter, R. E. 11 1985 A singular quasilinear diffusion equation in \(L^ 1\). Zbl 0522.35057Showalter, Ralph E. 10 1984 A free-boundary problem for a degenerate parabolic system. Zbl 0476.35083DiBenedetto, Emmanuele; Showalter, R. E. 5 1983 Local regularity, boundary values and maximum principles for pseudoparabolic equations. Zbl 0507.35047Showalter, R. E. 4 1983 Degenerate nonlinear parabolic systems and free-boundary problems. Zbl 0501.35079Showalter, R. E. 1 1983 A pseudo-parabolic variational inequality and Stefan problem. Zbl 0497.35050DiBenedetto, E.; Showalter, R. E. 9 1982 Mathematical formulation of the Stefan problem. Zbl 0506.76103Showalter, R. E. 3 1982 Implicit degenerate evolution equations and applications. Zbl 0477.47037DiBenedetto, Emmanuele; Showalter, R. E. 75 1981 Singular nonlinear evolution equations. Zbl 0462.47048Showalter, R. E. 4 1980 Degenerate parabolic initial-boundary value problems. Zbl 0416.35038Showalter, R. E. 14 1979 A Green’s formula for weak solutions of variational problems. Zbl 0466.35019Showalter, R. E. 3 1979 Initial and final-value problems for degenerate parabolic evolution systems. Zbl 0456.35046Showalter, R. E. 2 1979 Sobolev equations for nonlinear dispersive systems. Zbl 0387.34043Showalter, R. E. 21 1978 Convergence rates of ergodic limits for semigroups and cosine functions. Zbl 0393.47004Goldstein, Jerome A.; Radin, Charles; Showalter, R. E. 13 1978 Hilbert space methods for partial differential equations. Zbl 0364.35001Showalter, R. E. 121 1977 Well-posed problems for some nonlinear dispersive waves. Zbl 0362.35032Showalter, R. E. 2 1977 Perturbation of maximal accretive operators with right angle. Zbl 0431.47017Showalter, R. E. 1 1977 Regularization and approximation of second order evolution equations. Zbl 0364.35047Showalter, R. E. 9 1976 Errata: Nonlinear degenerate evolution equations and partial differential equations of mixed type. Zbl 0325.35041Showalter, R. E. 2 1976 Nonlinear degenerate evolution equations and partial differential equations of mixed type. Zbl 0268.35045Showalter, R. E. 34 1975 The Sobolev equation. I. Zbl 0347.35073Showalter, R. E. 21 1975 The Sobolev equation. II. Zbl 0347.35074Showalter, R. E. 19 1975 A nonlinear parabolic-Sobolev equation. Zbl 0296.35047Showalter, R. E. 15 1975 Quasi-reversibility of first and second order parabolic evolution equations. Zbl 0318.35073Showalter, R. E. 8 1975 A priori error estimates for approximation parabolic boundary value problems. Zbl 0323.35044Showalter, R. E. 1 1975 The final value problem for evolution equations. Zbl 0296.34059Showalter, R. E. 86 1974 Degenerate evolution equations and applications. Zbl 0281.34061Showalter, R. E. 32 1974 Continuity of maximal monotone sets in Banach space. Zbl 0286.47031Showalter, R. E. 2 1974 Equations with operators forming a right angle. Zbl 0256.47011Showalter, R. E. 2 1973 Existence and representation theorems for a semilinear Sobolev equation in Banach space. Zbl 0262.34047Showalter, R. E. 59 1972 Weak solutions of nonlinear evolution equations of Sobolev-Galpern type. Zbl 0232.35027Showalter, R. E. 14 1972 Asymptotic behavior of solutions of pseudo-parabolic partial differential equations. Zbl 0244.35012Showalter, R. E.; Ting, T. W. 9 1971 Pseudoparabolic partial differential equations. Zbl 0199.42102Showalter, R. E.; Ting, T. W. 187 1970 Well-posed problems for a partial differential equation of order 2m + 1. Zbl 0199.42103Showalter, R. E. 12 1970 Local regularity of solutions of Sobolev-Galpern partial differential equations. Zbl 0202.11202Showalter, R. E. 7 1970 Partial differential equations of Sobolev-Galpern type. Zbl 0185.19002Showalter, R. E. 35 1969 all cited Publications top 5 cited Publications all top 5 Cited by 1,861 Authors 33 Showalter, Ralph E. 28 Nguyen Huy Tuan 16 Papageorgiou, Nikolaos S. 16 Wheeler, Mary Fanett 15 Byun, Sun-Sig 15 Trong, Dang Duc 14 Kumar, Kundan 13 Lasiecka, Irena 13 White, Luther W. 12 Beshtokov, Murat Khamidbievich 12 Cao, Yang 12 Warma, Mahamadi 12 Yotov, Ivan 11 Bociu, Lorena 11 Paronetto, Fabio 11 Peszyńska, Małgorzata 10 Gaspar, Francisco José 10 Kuttler, Kenneth L. jun. 10 Radu, Florin Adrian 10 Webster, Justin T. 9 Muntean, Adrian 9 Nicaise, Serge 9 Vélez-Santiago, Alejandro 9 Yin, Jingxue 8 Balachandran, Krishnan 8 Chueshov, Igor’ Dmitrievich 8 Di, Huafei 8 Hintermüller, Michael 8 Lyubanova, Anna Sh. 8 Nordbotten, Jan Martin 8 Rautenberg, Carlos N. 8 Röckner, Michael 8 Ruiz-Baier, Ricardo 8 Toundykov, Daniel 8 Xiong, Xiangtuan 8 Xu, Xiangsheng 7 Amaziane, Brahim 7 Cavalcanti, Marcelo Moreira 7 Colli, Pierluigi 7 Domingos Cavalcanti, Valéria Neves 7 Fernández, Jose Ramon 7 Girault, Vivette 7 Guidoboni, Giovanna 7 Kieu, Thinh Tri 7 Ok, Jihoon 7 Pankratov, Leonid S. 7 Rosen, I. Gary 7 Shang, Yadong 7 Vabishchevich, Pëtr Nikolaevich 7 Visintin, Augusto 6 Banks, Harvey Thomas 6 Barbu, Viorel 6 Carl, Siegfried 6 Casas, Eduardo 6 de la Llave, Rafael 6 Fu, Chuli 6 Fury, Matthew A. 6 Grillo, Gabriele 6 Kunisch, Karl 6 Le Thi Phuong Ngoc 6 Makaova, Rusanna Khasanbievna 6 Nguyen Thanh Long 6 Ozbilge, Ebru 6 Ptashnyk, Mariya 6 Reitmann, Volker 6 Rodrigo, Carmen 6 Rohan, Eduard 6 Rui, Hongxing 6 Scheven, Christoph 6 van Rensburg, Nicolaas F. J. 6 Walkington, Noel J. 6 Wei, Ting 5 Alduncin, Gonzalo 5 Arendt, Wolfgang 5 Bögelein, Verena 5 Bokalo, Mykola M. 5 Bukač, Martina 5 Demetriou, Michael A. 5 Demir, Ali 5 Di Pietro, Daniele Antonio 5 Dier, Dominik 5 Donchev, Tzanko Donchev 5 Favini, Angelo 5 Fëdorov, Vladimir Evgen’evich 5 Fumagalli, Alessio 5 Gal, Ciprian Gheorghe Sorin 5 Goeleven, Daniel 5 Goldstein, Jerome Arthur 5 Grobbelaar-Van Dalsen, Marié 5 Hornung, Ulrich 5 Hu, Xiaozhe 5 Johnsen, Jon 5 Lee, Jeonghun J. 5 Li, Xiaoxiao 5 Liu, Wei 5 Mardal, Kent-Andre 5 Morales, Fernando A. 5 Motreanu, Dumitru 5 Plekhanova, Marina Vasil’evna 5 Pop, Iuliu Sorin ...and 1,761 more Authors all top 5 Cited in 290 Serials 145 Journal of Mathematical Analysis and Applications 90 Journal of Differential Equations 66 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Applicable Analysis 38 Mathematical Methods in the Applied Sciences 36 Applied Mathematics and Computation 34 Computers & Mathematics with Applications 29 Nonlinear Analysis. Real World Applications 21 Computer Methods in Applied Mechanics and Engineering 21 Journal of Functional Analysis 21 Computational Geosciences 21 Nonlinear Analysis. Theory, Methods & Applications 20 Journal of Computational and Applied Mathematics 19 Journal of Mathematical Sciences (New York) 18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 17 Applied Mathematics Letters 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Boundary Value Problems 14 Archive for Rational Mechanics and Analysis 14 SIAM Journal on Mathematical Analysis 14 Discrete and Continuous Dynamical Systems 13 Journal of Computational Physics 13 Numerical Functional Analysis and Optimization 13 SIAM Journal on Control and Optimization 13 Journal of Evolution Equations 12 Applied Numerical Mathematics 12 Calculus of Variations and Partial Differential Equations 12 Discrete and Continuous Dynamical Systems. Series B 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Journal of Scientific Computing 10 Journal of Mathematical Physics 10 ZAMP. 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Analyse Non Linéaire 6 Mathematical and Computer Modelling 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Russian Mathematics 6 Electronic Journal of Differential Equations (EJDE) 6 Journal of Inverse and Ill-Posed Problems 6 Abstract and Applied Analysis 6 Advances in Difference Equations 6 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 5 Archiv der Mathematik 5 Automatica 5 Integral Equations and Operator Theory 5 Journal of Soviet Mathematics 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Transactions of the American Mathematical Society 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Applications of Mathematics 5 Computational Mathematics and Mathematical Physics 5 NoDEA. Nonlinear Differential Equations and Applications 5 Mediterranean Journal of Mathematics 5 Inverse Problems in Science and Engineering 5 Discrete and Continuous Dynamical Systems. Series S 5 Mathematical Control and Related Fields 5 Journal of Elliptic and Parabolic Equations 5 Electronic Research Archive 4 Rocky Mountain Journal of Mathematics 4 BIT 4 Mathematische Zeitschrift 4 Quarterly of Applied Mathematics 4 Semigroup Forum 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Mathematics and Mechanics. (English Edition) 4 Physica D 4 Journal of Integral Equations and Applications 4 European Journal of Applied Mathematics 4 Numerical Algorithms 4 International Journal of Computer Mathematics 4 SIAM Journal on Applied Mathematics 4 Journal of Dynamics and Differential Equations 4 Journal of Inequalities and Applications 4 Communications in Contemporary Mathematics 4 Computational Methods in Applied Mathematics 4 Central European Journal of Mathematics 4 Mathematical Biosciences and Engineering 4 Advances in Mathematical Physics 4 International Journal of Differential Equations 4 AIMS Mathematics 3 Acta Mechanica 3 International Journal of Solids and Structures ...and 190 more Serials all top 5 Cited in 49 Fields 1,116 Partial differential equations (35-XX) 322 Numerical analysis (65-XX) 292 Fluid mechanics (76-XX) 267 Operator theory (47-XX) 228 Mechanics of deformable solids (74-XX) 136 Calculus of variations and optimal control; optimization (49-XX) 135 Ordinary differential equations (34-XX) 59 Biology and other natural sciences (92-XX) 55 Systems theory; control (93-XX) 50 Classical thermodynamics, heat transfer (80-XX) 49 Probability theory and stochastic processes (60-XX) 44 Functional analysis (46-XX) 33 Global analysis, analysis on manifolds (58-XX) 30 Dynamical systems and ergodic theory (37-XX) 30 Integral equations (45-XX) 28 Geophysics (86-XX) 20 Optics, electromagnetic theory (78-XX) 17 Real functions (26-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Operations research, mathematical programming (90-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of particles and systems (70-XX) 6 Information and communication theory, circuits (94-XX) 5 Difference and functional equations (39-XX) 5 Quantum theory (81-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Differential geometry (53-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year