Skip to main content
eScholarship
Open Access Publications from the University of California

Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping

  • Author(s): Guo, Y
  • Rammaha, MA
  • Sakuntasathien, S
  • Titi, ES
  • Toundykov, D
  • et al.
Abstract

© 2014 Elsevier Inc. Presented here is a study of a viscoelastic wave equation with supercritical source and damping terms. We employ the theory of monotone operators and nonlinear semigroups, combined with energy methods to establish the existence of a unique local weak solution. In addition, it is shown that the solution depends continuously on the initial data and is global provided the damping dominates the source in an appropriate sense.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Main Content
Current View