## Abstract In this study, we consider a class of wave equations with strong damping and source terms associated with initial and Dirichlet boundary conditions. We establish a blow up result for certain solutions with nonpositive initial energy as well as positive initial energy. This further impro
โฆ LIBER โฆ
Nonexistence of Bounded Solutions of One Dimensional Wave Equations with Quasiperiodic Forcing Terms
โ Scribed by Masaru Yamaguchi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 365 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0022-0396
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โฆ Synopsis
Then by the similar way to [2] it is shown that every solution of the above IBVP is necessarily almost periodic in t (so bounded in t # R 1 ) if the following two conditions are satisfied: article no.
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## Abstract This paper is concerned with some uniform energy decay estimates of solutions to the linear wave equations with strong dissipation in the exterior domain case. We shall derive the decay rate such as $(1+t)E(t)\le C$\nopagenumbers\end for some kinds of weighted initial data, where __E__(