We show that the solutions of the initial value problems for a large class of Burgers type equations approach with time to the sum of appropriately shifted wave-trains and of diffusion waves.
The asymptotic behavior of solutions to an inverse problem for differential operator equations
✍ Scribed by A.F. Güvenilir; V.K. Kalantarov
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 484 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
we
show that, under some conditions, all solutions of the inverse problem for a class of first-order and second-order linear differential operator equations in a Hilbert space tend to zero when t -+ co. Applications to inverse problems for the heat equation and damped wave equations are given.
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