Invariant sets for systems of partial differential equations. II: First- order and elliptic equations

DOI10.1007/BF00283253zbMath0466.35014MaRDI QIDQ1155187

Wolfgang Walter, Raymond M. Redheffer

Publication date: 1980

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

elliptic systemsconvexity conditionfirst order partial differential equationsinvariance theoremsunbounded regions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Maximum principles in context of PDEs (35B50) Variational methods for elliptic systems (35J50) Nonlinear first-order PDEs (35F20)

Related Items (6)

Invariant convex bodies for strongly elliptic systems ⋮ On the development of functionals which satisfy a maximum principle ⋮ Shape-invariant bounds and more general estimates for vector-valued elliptic-parabolic problems ⋮ Enclosure statements for systems of semilinear parabolic differential equations. ⋮ Ein Invarianz-Satz für gewöhnliche und parabolische Differentialgleichungen ⋮ Shape-invariant bounds for ordinary differential operators and generalizations

Cites Work

• Unnamed Item
• Über die Invarianz einer konvexen Menge in bezug auf Systeme von gewöhnlichen, parabolischen und elliptischen Differentialgleichungen
• Invariant sets for systems of partial differential equations I. Parabolic equations
• Differentialungleichungen unter schwachen Voraussetzungen
• Unter-Und Oberfunktionen Und Differentialungleichungen Zweiter Ordnung in Normierten Raumen
• Ober die invaritanz konvexer teilmengen eines normierten raumes in bezug auf ellipische differentaialaleichungen
• Elementary Remarks on Problems of Mixed Type

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