Exact boundary observability for nonautonomous quasilinear wave equations

2009/07/10 by Guo, Lina, Wang, Zhiqiang
#35L70 #35R30 #93B07 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.0907.1760

Abstract

By means of a direct and constructive method based on the theory of semiglobal C² solution, the local exact boundary observability is shown for nonautonomous 1-D quasilinear wave equations. The essential difference between nonautonomous wave equations and autonomous ones is also revealed.

Related

• Exact observability of a 1D wave equation on a non-cylindrical domain
• Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions
• Change of regularity in controllability and observability of systems of wave equations
• Global solutions of quasilinear wave equations
• Boundary controllability for the quasilinear wave equation