Some qualitative properties of the reaction-diffusion system

DOI10.1007/BF02113914zbMath0858.35063OpenAlexW1979554712MaRDI QIDQ1921752

T. A. Akramov, Mikhail P. Vishnevskii

Publication date: 23 March 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02113914

zbMATH Keywords

existence and uniqueness of classical solutions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (3)

Unnamed Item ⋮ On the behavior of solutions to a certain hyperbolic problem ⋮ An existence criterion for \(L_1\)-norms of higher-order derivatives of solutions to a homogeneous parabolic equation

Cites Work

• On certain nonlinear elliptic differential equations and univalent mappings
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Quasilinear parabolic systems under nonlinear boundary conditions
• Parabolic evolution equations and nonlinear boundary conditions
• An optimal regularity result for a class of quasilinear parabolic systems
• On the regularity up to the boundary for second order nonlinear elliptic systems
• Asymptotic Behavior of Solutions to a Class of Diffusion-Reaction Equations
• Global existence for semilinear parabolic systems.
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