Publication: Attractors for damped quintic wave equations in bounded domains
Program
KU-Authors
KU Authors
Co-Authors
Savostianov, Anton
Zelik, Sergey
Publication Date
Language
Type
Embargo Status
Journal Title
Journal ISSN
Volume Title
Alternative Title
Abstract
The dissipative wave equation with a critical quintic non-linearity in smooth bounded three-dimensional domain is considered. Based on the recent extension of the Strichartz estimates to the case of bounded domains, the existence of a compact global attractor for the solution semigroup of this equation is established. Moreover, the smoothness of the obtained attractor is also shown.
Source
Publisher
Springer
Subject
Physics, multidisciplinary, Physics, particles and fields, Physics, mathematical
Citation
Has Part
Source
Annales Henri Poincare
Book Series Title
Edition
DOI
10.1007/s00023-016-0480-y