On the strongly damped wave equation with constraint

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.

URI

https://doi.org/10.34657/2916
https://oa.tib.eu/renate/handle/123456789/2786

Citation

Bonetti, E., Rocca, E., Schimperna, G., & Scala, R. (2015). On the strongly damped wave equation with constraint. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

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