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Pseudoparabolic equations with additive noise and applications

✍ Scribed by K. B. Liaskos; I. G. Stratis; A. N. Yannacopoulos

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
181 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this work we present some results on the Cauchy problem for a general class of linear pseudoparabolic equations with additive noise. We consider questions of existence and uniqueness of mild and strong solutions and well posedness for this problem. We also prove the existence and uniqueness of mild and strong solutions for a related perturbed Cauchy problem and we investigate the continuity of the solution with respect to a small parameter. The abstract results are illustrated using examples from electromagnetics and heat conduction. Copyright Β© 2008 John Wiley & Sons, Ltd.

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