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Diffusion Phenomenon for Linear Dissipative Wave Equations

โœ Scribed by Said-Houari, Belkacem

Book ID
118154005
Publisher
European Mathematical Society
Year
2012
Tongue
English
Weight
273 KB
Volume
31
Category
Article
ISSN
0232-2064

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## Abstract Let __u__ and __v__ be, respectively, the solutions to the Cauchy problems for the dissipative wave equation $$u\_{tt}+u\_tโ€\Delta u=0$$\nopagenumbers\end and the heat equation $$v\_tโ€\Delta v=0$$\nopagenumbers\end We show that, as $t\rightarrow+\infty$\nopagenumbers\end, the norms