On the strongly damped wave equation with constraint
Analysis of PDEs
2015-03-09 v1
Abstract
A weak formulation for the so-called "semilinear strongly damped wave equation with constraint" is introduced and a corresponding notion of solution is defined. The main idea in this approach consists in the use of duality techniques in Sobolev-Bochner spaces, aimed at providing a suitable "relaxation" of the constraint term. A global in time existence result is proved under the natural condition that the initial data have finite "physical" energy.
Cite
@article{arxiv.1503.01911,
title = {On the strongly damped wave equation with constraint},
author = {Elena Bonetti and Elisabetta Rocca and Riccardo Scala and Giulio Schimperna},
journal= {arXiv preprint arXiv:1503.01911},
year = {2015}
}
Comments
21 pages