✦ LIBER ✦
Interpolation inequality of logarithmic type in abstract Besov spaces and an application to semilinear evolution equations
✍ Scribed by Toshitaka Matsumoto; Takayoshi Ogawa
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 193 KB
- Volume
- 283
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
An abstract version of Besov spaces is introduced by using the resolvent of nonnegative operators. Interpolation inequalities with respect to abstract Besov spaces and generalized Lorentz spaces are obtained. These inequalities provide a generalization of Sobolev inequalities of logarithmic type. Uniqueness problems to abstract semilinear evolution equations are also discussed (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)