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＜電子ブック＞
Research in PDEs and Related Fields : The 2019 Spring School, Sidi Bel Abbès, Algeria / edited by Kaïs Ammari
(Tutorials, Schools, and Workshops in the Mathematical Sciences. ISSN:25220977)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2022
本文言語	英語
大きさ	VII, 186 p. 7 illus., 5 illus. in color : online resource
著者標目	Ammari, Kaïs editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:System theory LCSH:Control theory FREE:Differential Equations FREE:Systems Theory, Control
一般注記	Sobolev Spaces and Elliptic Boundary Values Problems (Cherif Amrouche) -- Survey on the decay of the local energy for the solutions of the nonlinear wave equations (Ahmed Bchatnia) -- A spectral numerical method to approximate the boundary controllability of the wave equation with variable coefficients (Carlos Castro) -- Aggregation equation and collapse to singular measure (Taoufik Hmidi, Dong Li) -- Geometric Control of Eigenfunctions of Schrodinger Operators (Fabricio Macia) -- Stability of a graph of strings with local Kelvin-Voigt damping (Kais Ammari, Zhuangyi Liu, Farhat Shel) This volume presents an accessible overview of mathematical control theory and analysis of PDEs, providing young researchers a snapshot of these active and rapidly developing areas. The chapters are based on two mini-courses and additional talks given at the spring school "Trends in PDEs and Related Fields” held at the University of Sidi Bel Abbès, Algeria from 8-10 April 2019. In addition to providing an in-depth summary of these two areas, chapters also highlight breakthroughs on more specific topics such as: Sobolev spaces and elliptic boundary value problems Local energy solutions of the nonlinear wave equation Geometric control of eigenfunctions of Schrödinger operators Research in PDEs and Related Fields will be a valuable resource to graduate students and more junior members of the research community interested in control theory and analysis of PDEs HTTP:URL=https://doi.org/10.1007/978-3-031-14268-0

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