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On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations

✍ Scribed by Tran Thi Loan; Nguyen Manh Hung

Book ID
111539255
Publisher
Springer
Year
2002
Tongue
English
Weight
106 KB
Volume
54
Category
Article
ISSN
0041-5995

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πŸ“œ SIMILAR VOLUMES

Interpolation inequality of logarithmic
Interpolation inequality of logarithmic type in abstract Besov spaces and an application to semilinear evolution equations
✍ Toshitaka Matsumoto; Takayoshi Ogawa πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 193 KB

## 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 logarit