Calculus of Variations and Geometric Measure Theory
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E. Bonetti - E. Rocca - R. Scala - G. Schimperna

On the strongly damped wave equation with constraint

created by scala on 06 Mar 2015

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Submitted Paper

Inserted: 6 mar 2015
Last Updated: 6 mar 2015

Year: 2015

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.


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