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Inverse Problems for Fractional Diffusion Equations

By Durdiev, Durdimurod K.

Inverse Problems for Fractional Diffusion Equations Mathematics

Inverse Problems for Fractional Diffusion Equations

By Durdiev, Durdimurod K.

0 - Default Title
Description
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.
Product details
Number of Pages:
312
Release Date:
2025-06-16
Publication Date:
2025-06-16
Publisher:
Springer Nature Singapore
Languages:
Original: English
ISBN10:
9819653371
ISBN13:
9789819653379
GPSR Manufacturer Reference:
[email protected]
Weight:
633 g
Height:
160 cm
Width:
241 cm
Thickness:
23 cm
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