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 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.
On the strongly damped wave equation with constraint
E Bonetti;E Rocca;G Schimperna
2017
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 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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_376539-doc_153215.pdf
accesso aperto
Descrizione: On the strongly damped wave equation with constraint
Tipologia:
Versione Editoriale (PDF)
Dimensione
337.65 kB
Formato
Adobe PDF
|
337.65 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
