Direct and Inverse Problems with Applications Extended Abstracts of the 2024 GAP Center Summer School /
This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center. The school focused on equipping participants with a broad spectrum of mathematical tools for addressing both direct and inverse problems across various fields. Through a combinatio...
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| Autor Corporativo: | |
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| Outros autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | inglés |
| Publicado: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Edición: | 1st ed. 2025. |
| Series: | Research Perspectives Ghent Analysis and PDE Center,
12 |
| Subjects: | |
| Acceso en liña: | https://doi.org/10.1007/978-3-031-98645-1 |
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Table of Contents:
- Fourier algebras and homomorphisms
- Dispersion phenomena and applications to evolution equations
- Subriemannian geometry and analysis of hypoelliptic PDE
- Stability results for Sobolev, logarithmic Sobolev, and related inequalities
- Semiconcavity, viscosity solutions and the square distance in Carnot groups
- Direct and inverse nonstationary scattering problems for Dirac-type system
- Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients
- Rigidity results for evolution PDEs on homogeneuos Lie groups
- An overview of dualities in non-commutative harmonic analysis
- Colombeau type extensions, assymptotic scales
- Analytical solutions to the Laplace equation on a hemispherical domain
- Uniform spectral asymptotics for high-contrast periodic media
- Asymptotic mean value formulas for the 𝑝-Laplacian in the Euclidean space and in the Heisenberg Group
- Global solutions for a class of nonlinear evolution equations in supercritical spaces
- An index transform method for solutions of the boundary value problems in a wedge.