Exact boundary observability for a kind of second order quasilinear hyperbolic systems and its applications

DOI10.1016/j.na.2010.02.020zbMath1195.35208OpenAlexW2060314654MaRDI QIDQ972397

Li-Xin Yu

Publication date: 25 May 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.02.020

zbMATH Keywords

constructive methodexact boundary observabilitymixed initial-boundary value problemquasilinear hyperbolic systemsemi-global \(C^2\) solution

Mathematics Subject Classification ID

Observability (93B07) Initial-boundary value problems for first-order hyperbolic systems (35L50) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

Global exact boundary observability for first-order quasilinear hyperbolic systems of diagonal form ⋮ Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations ⋮ Exact boundary observability for a kind of second-order quasilinear hyperbolic system ⋮ Exact boundary observability for a kind of second-order quasilinear hyperbolic systems

Cites Work

• Unnamed Item
• Unnamed Item
• One-side exact controllability and observability for quasilinear hyperbolic systems
• Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
• Exact boundary observability for quasilinear hyperbolic systems.
• Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems and its applications
• Exact boundary observability for quasilinear hyperbolic systems
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Boundary observability for the space-discretizations of the 1 — d wave equation
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
• Exact boundary observability for 1‐D quasilinear wave equations
• Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems

This page was built for publication: Exact boundary observability for a kind of second order quasilinear hyperbolic systems and its applications