We characterize all domains 0 of R N such that the heat semigroup decays in L(L (0)) or L(L 1 (0)) as t ร . Namely, we prove that this property is equivalent to the Poincare inequality, and that it is also equivalent to the solvability of &2u= f in L (0) for all f # L (0). In particular, under mild
โฆ LIBER โฆ
Applications of B-bounded nonlinear semigroups to particle transport problems
โ Scribed by Meri Lisi; Silvia Totaro
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 159 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1309
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โฆ Synopsis
Communicated by J. Banasiak
In this paper we study an application of nonlinear B-bounded semigroups introduced in a previous paper. The application is similar to the particle transport problem which led to B-bounded linear semigroups. We deal with a nonlinear particle transport problem, which can be solved by using B-bounded nonlinear semigroups.
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Decay of Heat Semigroups in Lโ and Appli
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Philippe Souplet
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2000
๐
Elsevier Science
๐
English
โ 166 KB