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estimates for dissipative wave equations in exterior domains

โœ Scribed by Kosuke Ono

Book ID
108175487
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
169 KB
Volume
333
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Decay estimates for dissipative wave equ
Decay estimates for dissipative wave equations in exterior domains
โœ Kosuke Ono ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 273 KB

Consider the initial boundary value problem for the linear dissipative wave equation ( + โˆ‚ t )u = 0 in an exterior domain โ„ฆ โŠ‚ R N . Using the so-called cut-off method together with local energy decay and L 2 decays in the whole space, we study decay estimates of the solutions. In particular, when N

L1 Decay estimates for dissipative wave
L1 Decay estimates for dissipative wave equations
โœ Albert Milani; Yang Han ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 151 KB

## 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