We investigate the nonlinear diffusion equation βu/βt = u + u p p > 1 on certain unbounded fractal domains, where is the infinitesimal generator of the semigroup associated with a corresponding heat kernel. We show that there are nonnegative global solutions for non-negative initial data if p > 1 +
On nonlinear parabolic functional differential equations in unbounded domains
β Scribed by L. Simon
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 383 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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