Fractional flows driven by subdifferentials in Hilbert spaces
| Autor: | Goro Akagi |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
General Mathematics
010102 general mathematics Mathematics::Analysis of PDEs Hilbert space Perturbation (astronomy) Monotonic function 0102 computer and information sciences Subderivative Differential operator Abstract theory Lipschitz continuity 01 natural sciences Nonlinear system symbols.namesake 010201 computation theory & mathematics symbols Applied mathematics 0101 mathematics Mathematics |
| Zdroj: | Israel Journal of Mathematics. 234:809-862 |
| ISSN: | 1565-8511 0021-2172 |
| DOI: | 10.1007/s11856-019-1936-9 |
| Popis: | This paper presents an abstract theory on well-posedness for time-fractional evolution equations governed by subdifferential operators in Hilbert spaces. The proof relies on a regularization argument based on maximal monotonicity of time-fractional differential operators as well as energy estimates based on a nonlocal chain-rule formula for subdifferentials. Moreover, it will be extended to a Lipschitz perturbation problem. These abstract results will be also applied to time-fractional nonlinear PDEs such as time-fractional porous medium, fast diffusion, p-Laplace parabolic, Allen-Cahn equations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink