Exact boundary controllability for higher order quasilinear hyperbolic equations

DOI10.1007/s11766-005-0045-1zbMath1077.93006OpenAlexW153709247MaRDI QIDQ2483754

Li-Xin Yu

Publication date: 27 July 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-005-0045-1

zbMATH Keywords

initial-boundary value problemnonlinear boundary conditionssemi-global \(C^1\) solution

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence theories for optimal control problems involving partial differential equations (49J20) Higher-order nonlinear hyperbolic equations (35L75)

Cites Work

• Unnamed Item
• Local exact boundary controllability for a class of quasilinear hyperbolic systems.
• Contrôlabilité exacte frontière pour les équations des ondes quasi linéaires unidimensionnelles. (Exact boundary controllability for 1-D quasilinear wave equations)
• Exact controllability for first order quasilinear hyperbolic systems with zero eigenvalues
• Nonlinear hyperbolic problems with solutions on preassigned sets
• Solution semi-globale et contrôlabilité exacte frontière de systèmes hyperboliques quasi linéaires
• Exact Boundary Controllability for 1‐D Quasilinear Wave Equations
• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
• Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems

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