Our goal is to knhow a ‘‘hidden regularity’’ result for integro-differential equations, when the integral term is of convolution type. Under general assumptions on the integral kernel we are able to define the trace of the normal derivative of a weak solution. In such a way we extend to integro-differential equations well-known results available in the literature for wave equations without memory.
Hidden regularity for wave equations with memory / Loreti, Paola; Sforza, Daniela. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - STAMPA. - 7:2(2016), pp. 391-405.
Hidden regularity for wave equations with memory
LORETI, Paola;SFORZA, Daniela
2016
Abstract
Our goal is to knhow a ‘‘hidden regularity’’ result for integro-differential equations, when the integral term is of convolution type. Under general assumptions on the integral kernel we are able to define the trace of the normal derivative of a weak solution. In such a way we extend to integro-differential equations well-known results available in the literature for wave equations without memory.File allegati a questo prodotto
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