Subsolutions for abstract evolution equations
✍ Scribed by Louise Barthélemy; Philippe Bénilan
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Weight
- 800 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0926-2601
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📜 SIMILAR VOLUMES
For a wide class of nonlinear parabolic equations of the form u y ⌬ u s t Ž . F u, ٌu , we prove the nonexistence of global solutions for large initial data. We also estimate the maximal existence time. To do so we use a method of comparison with suitable blowing up self-similar subsolutions. As a c
## Abstract The Cauchy problem for the abstract semilinear evolution equation __u__^′^(__t__) = __Au__ (__t__) + __B__ (__u__ (__t__)) + __C__ (__u__ (__t__)) is discussed in a general Banach space __X__. Here __A__ is the so‐called Hille‐Yosida operator in __X__, __B__ is a differentiable operator