New method for the existence and uniqueness of solution of nonlinear parabolic equation

DOI10.1186/s13661-015-0343-3zbMath1343.47083OpenAlexW1503110055WikidataQ59412385 ScholiaQ59412385MaRDI QIDQ283156

Li Wei, Patricia J. Y. Wong, Ravi P. Agarwal

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0343-3

zbMATH Keywords

resolventparabolic equationsubdifferential\(H\)-monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Applications of operator theory to differential and integral equations (47N20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Semi-implicit iterative schemes with perturbed operators for infinite accretive mappings and infinite nonexpansive mappings and their applications to parabolic systems

Cites Work

• Entire solutions of completely coercive quasilinear elliptic equations
• Parametric completely generalized mixed implicit quasi-variational inclusions involving \(h\)-maxi\-mal monotone mappings
• Existence of solutions to nonlinear Neumann boundary value problems with generalized \(p\)-Laplacian operator
• The range of sums of accretive and monotone operators
• Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type
• \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
• Study on the existence and uniqueness of solution of generalized capillarity problem
• Ground states and free boundary value problem for the \(n\)-Laplacian in \(n\) dimensional space
• Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities
• Existence of solutions of a family of nonlinear boundary value problems in \(L^2\)-spaces
• The \(p\)-Laplace eigenvalue problem as \(p\to\infty\) in a Finsler metric
• Research on the existence of solution of equation involving \(p\)-Laplacian operator
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Solutions of parabolic boundary problems existing for all time
• The existence of solutions of nonlinear boundary value problems involving the \(p\)-Laplacian operator in \(L^s\)-spaces
• Nonlinear elliptic boundary value problems in Lp-spaces and sums of ranges of accretive operators
• Oblique Derivative Problems for Elliptic Equations
• Positive eigenfunctions for the p-Laplace operator revisited
• The applications of theories of accretive operators to nonlinear elliptic boundary value problems in \(L^p\)-spaces
• Time-periodic solutions of quasilinear parabolic differential equations. III: Conormal boundary conditions
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