The Hukuhara-Kneser property for quasilinear parabolic equations

DOI10.1016/0362-546X(88)90110-1zbMath0678.35052MaRDI QIDQ3834414

Paul C. Talaga

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existenceinvariancesmooth boundaryconvex setquasilinearinitial boundary value problemHölder spaceLeray-Schauder degreeHukuhara- Kneser property

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Fixed-point theorems (47H10)

Related Items (4)

The Hukuhara-Kneser property for a nonlinear integral equation ⋮ A wave equation associated with mixed nonhomogeneous conditions: The compactness and connectivity of weak solution set ⋮ A Peano-Akô type theorem for variational inequalities ⋮ A continuum of solutions in a Fréchet space of a nonlinear functional integral equation in N variables

Cites Work

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• The Hukuhara-Kneser property for parabolic systems with nonlinear boundary conditions
• Invariant sets and the Hukuhara-Kneser property for systems of parabolic partial differential equations
• Invariant sets for systems of partial differential equations I. Parabolic equations
• Invariant sets and existence theorems for semilinear parabolic and elliptic systems

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