Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions

DOI10.1016/S0895-7177(00)00208-9zbMath0973.35122OpenAlexW2062926477MaRDI QIDQ5931731

Siegfried Carl, Seppo Heikkilä

Publication date: 25 April 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00208-9

zbMATH Keywords

upper and lower solutionsextremal solutionsabstract fixed point result in partially ordered setstruncation techniques

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Reaction-diffusion equations (35K57) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items

The Bolzano mean-value theorem and partial differential equations ⋮ Weak solutions for nonlocal boundary value problems with low regularity data ⋮ Trapping regions for discontinuously coupled systems of evolution variational inequalities and application ⋮ The existence and behavior of solutions for nonlocal boundary problems ⋮ Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions

Cites Work

• Nonlinear parabolic boundary value problems with upper and lower solutions
• On the existence of extremal weak solutions for a class of quasilinear parabolic problems
• ON THE CARATHEODORY CONDITIONS
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Nonlinear elliptic boundary-value problems in unbounded domains
• 3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems
• Dynamics of reaction-diffusion equations with nonlocal boundary conditions
• Monotonicity methods for nonlinear evolution equations
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