On the development of functionals which satisfy a maximum principle

DOI10.1080/00036818708839700zbMath0607.34049OpenAlexW2025052294WikidataQ58274036 ScholiaQ58274036MaRDI QIDQ3746153

Chris Cosner, Philip W. Schaefer

Publication date: 1987

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818708839700

zbMATH Keywords

maximum principleestimatesLyapunov functionsuniqueness of solutionscomparison theoremsweakly coupled systemtheory of invariant sets

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (5)

Criteria for validity of the maximum modulus principle for solutions of linear parabolic systems ⋮ Invariant convex bodies for strongly elliptic systems ⋮ Shape-preserving signal forms in heat conduction ⋮ The Cauchy problem for a coupled semilinear parabolic system ⋮ Global existence for a vector-valued nonlinear heat equation

Cites Work

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• On a subharmonic functional in fourth order nonlinear elliptic problems
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• Invariant sets and the Hukuhara-Kneser property for systems of parabolic partial differential equations
• Maximum principles for solutions of some fourth-order elliptic equations
• Solution, Gradient, and Laplacian Bounds in Some Nonlinear Fourth Order Elliptic Equations
• Remarks on invariance in reaction- diffusion equations
• Gradient bounds for weakly coupled nonlinear elliptic systems

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