Dependence results for S- asymptotically periodic solutions of evolution equations

  • Joel Blot Laboratoire SAMM EA 4543 University Paris 1 Pantéon-Sorbonne.
  • Souhila Boudjema Département de Mathématiques, Faculté des Sciences, université de Skikda, Algérie.
  • Phillippe Cieutat

Abstract

We establish a new result of differentiable dependence on the S-asymptotically $\omega$-periodic solutions of a Cauchy problem of a semilinear evolution equation. The dependence concerns the initial conditions and parameters in the form of a control term. We apply this result to a parabolic evolution  equation withperiodic coefficients in time.
Published
2013-08-24
Section
Articles