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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.29 (1997) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4372
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| Title: | White Noise Perturbation of the Equations of Linear Parabolic Viscoelasticity |
| Authors: | Clément, Ph.
Da Prato, G.
Prüss, J. |
| Keywords: | Linear viscoelasticity
parabolicity
stochastic convolution
fractional derivatives
Volterra equations |
| Issue Date: | 1997 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | 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. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
29 (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. |
| URI: | http://hdl.handle.net/10077/4372 |
| ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.29 (1997)
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