Stability of solutions of nonlinear diffusion problems

DOI10.1016/0022-247X(66)90023-0zbMath0144.35102MaRDI QIDQ2523631

Clair G. Maple, Leonard D. Peterson

Publication date: 1966

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundary value problemnonlinear diffusion problemsstability of solutionssteady-state solutionexistence of unstable, steady-state solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35)

Related Items (4)

Global stability of symmetric and asymmetric concentration profiles in catalyst particles ⋮ Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary value problems of parabolic type ⋮ Comparison theorems for nonlinear multicomponent diffusion systems ⋮ On the growth of solutions of nonlinear diffusion equation \(u_t=\Delta u +F(u)\)

Cites Work

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• Notes on criteria for the stability of steady state solutions of parabolic equations
• Parabolic differential equations and Lyapunov like functions
• Functional differential systems and extension of Lyapunov's method
• Zur Abschätzung der Lösungen nichtlinearer parabolischer Differentialgleichungen
• On the Existence and Boundedness of Solutions of Nonlinear Partial Differential Equations of Parabolic Type

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