On weak solutions of parabolic initial value problems with discontinuous nonlinearities

DOI10.1016/J.NA.2004.10.004zbMath1224.35180OpenAlexW1996962161MaRDI QIDQ999884

J. Martínez

Publication date: 4 February 2009

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/j.na.2004.10.004

zbMATH Keywords

uniquenessasymptotic behaviourdiscontinuous nonlinearitiesparabolic initial value problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Weak solutions to PDEs (35D30) Initial value problems for second-order parabolic systems (35K45)

Related Items (6)

Generalized solutions of parabolic initial value problems with discontinuous nonlinearities ⋮ A reaction-diffusion system arising in game theory: existence of solutions and spatial dominance ⋮ On some quasilinear parabolic equations with non-monotone multivalued terms ⋮ Unnamed Item ⋮ Nonlocal conditions for lower semicontinuous parabolic inclusions ⋮ Existence, uniqueness and stability of weak solutions of parabolic systems with discontinuous nonlinearities

Cites Work

• The spatially dominant equilibrium of a game
• Nagumo's equation
• A Free Boundary Problem Arising from a Bistable Reaction-Diffusion Equation
• Existence, uniqueness and non-uniqueness of weak solutions of parabolic initial-value problems with discontinuous nonlinearities
• Stabilization to the standing wave in a simple caricature of the nerve equation

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