## Abstract The Cauchy problem for a semilinear second order parabolic equation __u__~__t__~ = Ξ__u__ + __f__ (__x__, __u__,β__u__), (__t__, __x__) β β^+^ Γ β^__N__^ , is considered within the semigroup approach in locally uniform spaces $ {\dot W}^{s,p}\_U $ (β^__N__^ ). Global solvability, dissi
On Dissipative Wave Equations in Hilbert-Space
β Scribed by K.J. Engel
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 440 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-247X
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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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