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arXiv · 1503.01911

On the strongly damped wave equation with constraint

Elena Bonetti·Elisabetta Rocca·Riccardo Scala·Giulio Schimperna
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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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Elena Bonetti, Elisabetta Rocca, Riccardo Scala, Giulio Schimperna. 2015-03-06. On the strongly damped wave equation with constraint. https://arxiv.org/abs/1503.01911

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