Well-Posedness of Fractional Differential Equations on Vector-Valued Function Spaces
✍ Scribed by Shangquan Bu
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2011
- Tongue
- English
- Weight
- 300 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
Partial differential equations with discrete (concentrated) state-dependent delays in the space of continuous functions are investigated. In general, the corresponding initial value problem is not well-posed. So we find an additional assumption on the state-dependent delay function to guarantee the
## Abstract We prove local‐in‐time unique existence and a blowup criterion for solutions in the Triebel‐Lizorkin space for the Euler equations of inviscid incompressible fluid flows in ℝ^__n__^, __n__ ≥ 2. As a corollary we obtain global persistence of the initial regularity characterized by the Tr