## Abstract In this paper, we consider the nonβlinear wave equation __a__,__b__>0, associated with initial and Dirichlet boundary conditions. Under suitable conditions on __Ξ±__, __m__, and __p__, we give precise decay rates for the solution. In particular, we show that for __m__=0, the decay is ex
On solutions for a hyperbolic system with differential inclusion and memory source term on the boundary
β Scribed by Jong Yeoul Park; Sun Hye Park
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 251 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, following the ideas of Lax, we prove a blow-up result for a class of solutions of the equation & -&x -&+xx -= 0, corresponding, in certain cases, to the development of a singularity in the second derivatives of 4. These solutions solve locally (in time) the Cauchy problem for smooth i
A question of the existence of fiolutions of boundary-value problems for differential equations with parameter was considered by many authors, see [1]-[3] and [5]-[9]. The analogous problems for differential equations with a deviated argument was discussed in [8] and [3]. The purpose of this paper