Inverse Problems for Fractional Diffusion Equations
Durdiev, Durdimurod K.
Produktnummer:
18345e4fa7664d404f823f4e572ec3a710
| Autor: | Durdiev, Durdimurod K. |
|---|---|
| Themengebiete: | Carleman estimate method Cauchy problem Coeffcient determination problems Holder stability boundary value problem fractional diffusion equations global solvability inverse problems overdetermination condition uniqueness |
| Veröffentlichungsdatum: | 16.06.2025 |
| EAN: | 9789819653379 |
| Sprache: | Englisch |
| Seitenzahl: | 295 |
| Produktart: | Gebunden |
| Verlag: | Springer Singapore |
Produktinformationen "Inverse Problems for Fractional Diffusion Equations"
This book discusses various inverse problems for the time-fractional diffusion equation, such as inverse coefficient problems (nonlinear problems) and inverse problems for determining the right-hand sides of equations and initial functions (linear problems). The study of inverse problems requires a comprehensive investigation of direct problems (such as representation formulas, a priori estimates and differential properties of the solution). This is particularly evident in nonlinear problems, where obtaining solvability theorems necessitates careful tracking of the exact dependence of the differential properties of the solution to the direct problem on the smoothness of the coefficients and other problem data. Therefore, a significant portion of the book is devoted to direct problems, such as initial problems (Cauchy problems) and initial-boundary value problems with various boundary conditions.
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