Maximum principle in nonlinear hyperbolic systems and its applications

DOI10.1016/S0362-546X(97)00534-8zbMath0962.35031MaRDI QIDQ4267756

De-Xing Kong

Publication date: 13 June 2001

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

zbMATH Keywords

weak dissipationstrong dissipation

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

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Global existence and blow-up phenomena of classical solutions for the system of compressible adiabatic flow through porous media ⋮ Optimal control problem in an epidemic disease SIS model with stages and delays ⋮ The Hyperbolic Geometric Flow on Riemann Surfaces ⋮ Symmetries and solutions to geometrical flows ⋮ Long time existence of hyperbolic Ricci-Bourguignon flow on Riemannian Surfaces ⋮ A maximum principle approach to optimal control for one-dimensional hyperbolic systems with several state variables ⋮ Optimal Control of Structural Dynamic Systems in One Space Dimension Using a Maximum Principle ⋮ Global classical solutions to partially dissipative quasilinear hyperbolic systems

Cites Work

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• Global smooth solution of Cauchy problems for a class of quasilinear hyperbolic systems
• Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms
• Monotoniesätze und Fehlerabschätzungen für Anfangswertaufgaben mit hyperbolischer Differentialgleichung
• The global smooth solutions of Cauchy problems for hyperbolic equation of Monge-Ampere type
• Differential- und Integral-Ungleichungen
• Cauchy problem for quasilinear hyperbolic systems with higher order dissipative terms

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