Two-Scale Homogenization of Non-Linear Degenerate Evolution Equations
β Scribed by G.W. Clark; L.A. Packer
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 105 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract We consider the blowup of solutions of the initial boundary value problem for a class of nonβlinear evolution equations with nonβlinear damping and source terms. By using the energy compensation method, we prove that when __p__>max{__m__, __Ξ±__}, where __m__, __Ξ±__ and __p__ are nonβneg
## Abstract As a basic example, we consider the porous medium equation (__m__ > 1) equation image where Ξ© β β^__N__^ is a bounded domain with the smooth boundary βΞ©, and initial data $u\_0 \thinspace \varepsilon L^{\infty} \cap L^{1}$. It is wellβknown from the 1970s that the PME admits separable