Inverse Problems for Integro-differential Operators
Inverse problems lie at the core of scientific discovery, enabling us to determine causes from observed consequences. They are fundamental to both theoretical research and technological innovation, making them a central topic in the mathematical sciences. This book explores a cutting-edge area of in...
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| Main Authors: | , |
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| Institution som forfatter: | |
| Format: | Electronisk eBog |
| Sprog: | engelsk |
| Udgivet: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Udgivelse: | 1st ed. 2025. |
| Serier: | Applied Mathematical Sciences,
222 |
| Fag: | |
| Online adgang: | https://doi.org/10.1007/978-3-031-89142-7 |
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Indholdsfortegnelse:
- Preface
- Introduction
- Integro-differential operators
- Part 1. Inverse problems for linear integro-differential operators
- Inverse problems for the fractional Schr¨odinger equation
- Inverse problems for the fractional Schr¨odinger equation with drift
- Inverse problems for variable coefficients nonlocal equations
- Inverse problems for the fractional wave equation
- Part 2. Inverse problems for nonlinear integro-differential operators
- Inverse problems for fractional semilinear elliptic equations
- Montonicity-based inversion formula with power type nonlinearities
- Summary and some open questions
- Bibliography.