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White Noise Perturbation of the Equations of Linear Parabolic Viscoelasticity
Clément, Ph.
Da Prato, G.
Prüss, J.
1997
Abstract
Evolutionary integral equations as appearing in the theory of linear parabolic viscoelasticity are studied in the presence
of white noise. It is shown that the stochastic convolution leads to
regular solutions, and that under suitable assumptions the samples are Hölder-continuous. These results are put in a wider perspective by consideration of equations with fractional derivatives
which are also studied in this paper. This way, known results are
recovered and put into broader perspective.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
29 (1997)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Ph. Clément, G. Da Prato, J. Prüss, "White Noise Perturbation of the Equations of Linear Parabolic Viscoelasticity", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 29 (1997), pp. 207-219.
Languages
en
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