We investigate the wave equation with an integral term in a disk. Our goal is to write the solution as Fourier series under a radial symmetric assumption on the data. The expression of the solution obtained allows us to get explicit Ingham type estimates, and hence reachability results.
Symmetries for an integro-differential equation in a disk / Loreti, Paola; Sforza, Daniela. - STAMPA. - (2015), pp. 34-38. (Intervento presentato al convegno 10th Workshop on Functional Analysis and its Applications in Mathematical Physics and Optimal Control tenutosi a Kočovce, Slovak Republic nel September 7-12, 2015).
Symmetries for an integro-differential equation in a disk
LORETI, Paola;SFORZA, Daniela
2015
Abstract
We investigate the wave equation with an integral term in a disk. Our goal is to write the solution as Fourier series under a radial symmetric assumption on the data. The expression of the solution obtained allows us to get explicit Ingham type estimates, and hence reachability results.File allegati a questo prodotto
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