Local exact boundary controllability for a class of quasilinear hyperbolic systems

Tatsien Li , Bopeng Rao (1)

1 IRMA - Institut de Recherche Mathématique Avancée

For a class of mixed initial-boundary value problem for general quasilinear hyperbolic systems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary controllability for a kind of nonlinear vibrating string problem.

Domaines: Equations aux dérivées partielles [math.AP]

Tatsien Li, Bopeng Rao. Local exact boundary controllability for a class of quasilinear hyperbolic systems. Chinese Annals of Mathematics - Series B, 2002, 23, num. 2, pp.209-218. ⟨10.1142/S0252959902000201⟩. ⟨hal-00086440⟩