A pseudo-monotonicity adapted to doubly nonlinear elliptic-parabolic equations

DOI10.1016/S0362-546X(01)00748-9zbMath1001.35091OpenAlexW2094305299MaRDI QIDQ1612567

R. Smith

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00748-9

zbMATH Keywords

Cauchy problemtime discretizationpseudo-monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) PDEs of mixed type (35M10) Nonlinear higher-order PDEs (35G20)

Related Items (13)

Numerical analysis of nonlinear elliptic-parabolic equations ⋮ Existence for a doubly nonlinear Volterra equation ⋮ Time-discretization and global solution for a doubly nonlinear Volterra equation ⋮ Doubly nonlinear evolution equations governed by time-dependent subdifferentials in reflexive Banach spaces ⋮ Doubly nonlinear parabolic equations involving variable exponents ⋮ Boundary hemivariational inequality problems with doubly nonlinear operators ⋮ Elliptic-parabolic equation and the corresponding problem with free boundary. II: A smooth solution ⋮ Strong solutions of doubly nonlinear parabolic equations ⋮ Doubly nonlinear stochastic evolution equations ⋮ Evolution hemivariational inequality problems with doubly nonlinear operators ⋮ Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces ⋮ Existence and regularity results for doubly nonlinear inclusions with nonmonotone perturbation ⋮ Elliptic-parabolic equation and the corresponding problem with free boundary. I: Elliptic problem with parameter

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