Almost periodic viscosity solutions of nonlinear parabolic equations

DOI10.1155/2009/873526zbMath1179.35041OpenAlexW2050519732WikidataQ59248382 ScholiaQ59248382MaRDI QIDQ1033000

Shilin Zhang, Da-Xiong Piao

Publication date: 6 November 2009

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

Full work available at URL: https://eudml.org/doc/45627

zbMATH Keywords

Perron's methodfully nonlinear equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Almost and pseudo-almost periodic solutions to PDEs (35B15) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Comparison principles in context of PDEs (35B51)

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Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to semi-linear differential equations in Hilbert spaces

Cites Work

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• The maximum principle for semicontinuous functions
• Perron's method for Hamilton-Jacobi equations
• Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence
• Almost periodic differential equations
• Viscosity solutions of Hamilton-Jacobi equations
• Time periodic viscosity solutions of Hamilton-Jacobi equations
• User’s guide to viscosity solutions of second order partial differential equations
• Existence and uniqueness of unbounded viscosity solutions of parabolic equations with discontinuous time-dependence