Mild solutions of evolution equations and measures of noncompactness
β Scribed by Marina Ghisi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 708 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
To generalize the HausdorfF measure of noncompactness to other classes of bounded sets (like e. g. conditionally weakly compact or Asplund sets), we introduce Grothendieck classes. We deduce integral inequalities for quantities (called Grothendieck measures) related to these classes. As a by-product
## Abstract The convergence of the Galerkin approximations to solutions of abstract evolution equations of the form __u__β²(__t__)= β __Au__(__t__) + __M__(__u__(__t__)) is shown. Here __A__ is a closed, positive definite, selfβadjoint linear operator with domain __D__(__A__) dense in a Hilbert spac