On a heat equation with diffusive memory in the source term
β Scribed by Tetsuya Koyama
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 394 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper we consider a hyperbolic equation, with a memory term in time, which can be seen as a singular perturbation of the heat equation with memory. The qualitative properties of the solutions of the initial boundary value problems associated with both equations are studied. We propose numeri
## Abstract A mixed problem for the modified KdV equation in __Q__ = (0,1) Γ (0,β) where __a__(__t__)>0, is considered. No restriction on the sign of __d__(__t__) is imposed. We prove the existence and uniqueness of strong and weak global solutions as well as the exponential decay of solutions as