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On nonlinear diffusion equations

✍ Scribed by Barry M. Cherkas


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
580 KB
Volume
11
Category
Article
ISSN
0022-0396

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We investigate the nonlinear diffusion equation βˆ‚u/βˆ‚t = 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 +