The explicit closed-form solutions for a second-order differential equation with a constant self-adjoint positive definite operator coefficient A (the hyperbolic case) and for the abstract Euler-Poisson-Darboux equation in a Hilbert space are presented. On the basis of these representations, we prop
โฆ LIBER โฆ
Multivalued perturbations of subdifferential type evolution equations in Hilbert spaces
โ Scribed by Dimitrios Kravvaritis; Nikolaos S Papageorgiou
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 797 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0022-0396
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## 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