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Direct and inverse problems with applicationsextended abstracts of the 2024 GAP Center Summer School /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Direct and inverse problems with applicationsedited by Marianna Chatzakou, Michael Ruzhansky, Karel Van Bockstal.
Reminder of title:	extended abstracts of the 2024 GAP Center Summer School /
other author:	Chatzakou, Marianna.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	viii, 235 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical analysisCongresses.
Online resource:	https://doi.org/10.1007/978-3-031-98645-1
ISBN:	9783031986451$q(electronic bk.)

Direct and inverse problems with applicationsextended abstracts of the 2024 GAP Center Summer School /
Direct and inverse problems with applicationsextended abstracts of the 2024 GAP Center Summer School /[electronic resource] :edited by Marianna Chatzakou, Michael Ruzhansky, Karel Van Bockstal. - Cham :Springer Nature Switzerland :2025. - viii, 235 p. :ill. (chiefly col.), digital ;24 cm. - Research perspectives Ghent Analysis and PDE Center,v. 122948-1732 ;. - Research perspectives Ghent Analysis and PDE Center ;v. 3..

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 ��-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.

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 combination of lectures, problem-solving sessions, and collaborative discussions, the program fostered the development of innovative methods and techniques. The lectures also include broader related topics in mathematical analysis and partial differential equations, offering a comprehensive perspective on current research directions in the field.

ISBN: 9783031986451$q(electronic bk.)

Standard No.: 10.1007/978-3-031-98645-1doiSubjects--Topical Terms:

437624
Mathematical analysis
--Congresses.

LC Class. No.: QA299.6

Dewey Class. No.: 515

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505 0 $a 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.
520 $a 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 combination of lectures, problem-solving sessions, and collaborative discussions, the program fostered the development of innovative methods and techniques. The lectures also include broader related topics in mathematical analysis and partial differential equations, offering a comprehensive perspective on current research directions in the field.
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700 1 $a Ruzhansky, M. $q (Michael) $3 575640
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