## Abstract Let __u__ and __v__ be, respectively, the solutions to the Cauchy problems for the dissipative wave equation $$u\_{tt}+u\_tβ\Delta u=0$$\nopagenumbers\end and the heat equation $$v\_tβ\Delta v=0$$\nopagenumbers\end We show that, as $t\rightarrow+\infty$\nopagenumbers\end, the norms
Energy decay and partition for dissipative wave equations
β Scribed by Jerome A Goldstein; Steven I Rosencrans
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 299 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
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We study the asymptotic behavior of solutions of dissipative wave equations with space-time-dependent potential. When the potential is only time-dependent, Fourier analysis is a useful tool to derive sharp decay estimates for solutions. When the potential is only space-dependent, a powerful techniqu
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