Pseudoparabolic equations with additive noise and applications |
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| Authors: | K B Liaskos I G Stratis A N Yannacopoulos |
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| Institution: | 1. Department of Mathematics, University of Athens, Panepistimiopolis, 157 84 Zographou, Greece;2. Department of Statistics, Athens University of Economics and Business, Patission 76, 104 34 Athens, Greece |
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| 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 © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | pseudoparabolic equations additive noise Cauchy problem heat conduction electromagnetics |
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