Well-posedness for a class of nonlinear parabolic equations with strong degeneracy
β Scribed by Jianwen Zhang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 188 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this note, we prove a well-posedness result for a class of linear difference equations in the space of all real sequences {Vr}reNu{0} satisfying SUPrENU{0} r! IVrl < -bCX~. Such result is obtained as an application of a recent result on the well posedness of the Cauchy problem for ordinary differ
In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =β(a(u)βu) + f(x; u; q; t) (q = |βu| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio