JournalsaihpcVol. 26, No. 6pp. 2373–2384

Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings

  • Qilong Gu

    School of Mathematical Sciences, Fudan University, Shanghai 200433, China, Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal (Clermont-Ferrand 2), 63177 Aubière cedex, France

  • Tatsien Li

    School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings cover
Download PDF

Abstract

In this paper the local exact boundary controllability for quasilinear wave equations on a planar tree-like network of strings is established and the number of boundary controls is equal to the number of simple nodes minus 1.

Cite this article

Qilong Gu, Tatsien Li, Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 6, pp. 2373–2384

DOI 10.1016/J.ANIHPC.2009.05.002