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221201 ||| eng |
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|a 9783031142680
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|a Ammari, Kaïs
|e [editor]
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245 |
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|a Research in PDEs and Related Fields
|h Elektronische Ressource
|b The 2019 Spring School, Sidi Bel Abbès, Algeria
|c edited by Kaïs Ammari
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|a 1st ed. 2022
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260 |
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|a Cham
|b Birkhäuser
|c 2022, 2022
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300 |
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|a VII, 186 p. 7 illus., 5 illus. in color
|b online resource
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505 |
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|a 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)
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653 |
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|a Control theory
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653 |
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|a Systems Theory, Control
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653 |
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|a System theory
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653 |
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|a Differential Equations
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653 |
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|a Differential equations
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041 |
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7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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|a Tutorials, Schools, and Workshops in the Mathematical Sciences
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5 |
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|a 10.1007/978-3-031-14268-0
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856 |
4 |
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|u https://doi.org/10.1007/978-3-031-14268-0?nosfx=y
|x Verlag
|3 Volltext
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|a 515.35
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520 |
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|a 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
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