Global Journal of Pure and Applied Mathematics

  • Year: 2007
  • Volume: 3
  • Issue: 2

Exact boundary controllability for the semilinear wave equation in fractional order spaces

  • Author:
  • Abdoulaye Sène
  • Total Page Count: 7
  • DOI:
  • Page Number: 167 to 173

Département de Mathématiques, Faculté des Sciences et Techniques, Université Cheikh Anta DIOP Dakar - Sénégal. E-mail: abdousen@ucad.sn

Abstract

The exact boundary controllability for the semilinear wave equation with Dirichlet boundary conditions is studied. Using norms estimations, we derive by Hilbert uniqueness method and fixed point theorem a boundary control regular enough for the variable of space.