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Ammari

Research in PDEs and Related Fields

The 2019 Spring School, Sidi Bel Abbès, Algeria

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eBook. PDF

eBook

2022

186 S. VII, 186 p. 7 illus., 5 illus. in color..

In englischer Sprache

Springer International Publishing. ISBN 978-3-031-14268-0

Das Werk ist Teil der Reihe: Tutorials, Schools, and Workshops in the Mathematical Sciences

Produktbeschreibung

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.