Stabilization of solutions of nonlinear and degenerate evolution equations
β Scribed by Michel Langlais; Daniel Phillips
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 687 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Nonlinear evolution equations are solved by decomposition.
We study the existence and some estimates of solution of the initial- boundary value problem for some nonlinear degenerate parabolic equations \[ u_{t}=\Delta\left(|u|^{m-1} u\right)+\sum_{k=1}^{N} b_{k} \frac{\partial\left(|u|^{l} u\right)}{\partial x_{k}}-A(u)+f(x, t) \]
In this paper, we study the problem -div a(x; u; βu) -div (u) + g(x; u) = f in in the setting of the weighted sobolev space W 1;p 0 ( ; ). The main novelty of our work is L β estimates on the solutions, and the existence of a weak and renormalized solution.