Asymptotic expansion of the L2-norm of a solution of the strongly damped wave equation in space dimension 1 and 2
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- Joseph Barrera
- Department of Mathematics & Computer Science, Converse College, Spartanburg, SC 29302, USA. E-mail:
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- Hans Volkmer
- Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA. E-mail:
説明
<jats:p> In previous work the authors found the asymptotic expansion of the [Formula: see text]-norm of the solution [Formula: see text] of the strongly damped wave equation [Formula: see text] and also of the [Formula: see text]-norm of the difference between [Formula: see text] and its asymptotic approximation [Formula: see text]. This was done in space dimension [Formula: see text]. In the present work results are extended to the exceptional cases [Formula: see text] and [Formula: see text]. This extension is achieved by deriving new lemmas on the asymptotic expansion of some parameter dependent integrals. </jats:p>
収録刊行物
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- Asymptotic Analysis
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Asymptotic Analysis 121 (3-4), 367-399, 2020-02-14
SAGE Publications
