Riv. Mat. Univ. Parma, Vol. 7, No. 2, 2016

Paola Loreti[a], Daniela Sforza[b]

Hidden regularity for wave equations with memory

Pages: 391-405
Received: 1 March 2016
Accepted in revised form: 21 July 2016
Mathematics Subject Classification (2010): 45K05.
Keywords: Hidden regularity,Integrodifferential equations
Author address:
[a], [b] : Università di Roma, Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Via Antonio Scarpa 16, 00161 Roma, Italy

Abstract: Our goal is to show 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.

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