Global well-posedness and exponential decay rates for a KdV–Burgers equation with indefinite damping

  • M.M. Cavalcanti

    Departamento de Matemática, Universidade Estadual de Maringá, 87020-900, Maringá, PR, Brazil
  • V.N. Domingos Cavalcanti

    Departamento de Matemática, Universidade Estadual de Maringá, 87020-900, Maringá, PR, Brazil
  • V. Komornik

    Département de Mathématique, Université de Strasbourg, 7 rue René Descartes, 67084 Strasbourg Cedex, France
  • J.H. Rodrigues

    Departamento de Matemática, Universidade Estadual de Maringá, 87020-900, Maringá, PR, Brazil

Abstract

We consider the KdV–Burgers equation and its linearized version on the whole real line. We investigate their well-posedness their exponential stability when λ is an indefinite damping.

Cite this article

M.M. Cavalcanti, V.N. Domingos Cavalcanti, V. Komornik, J.H. Rodrigues, Global well-posedness and exponential decay rates for a KdV–Burgers equation with indefinite damping. Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 5, pp. 1079–1100

DOI 10.1016/J.ANIHPC.2013.08.003