Research in PDEs and Related Fields

The 2019 Spring School, Sidi Bel Abbès, Algeria

Gebonden Engels 2022 9783031142673
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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 problemsLocal energy solutions of the nonlinear wave equationGeometric 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.

Specificaties

ISBN13:9783031142673
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing

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Inhoudsopgave

<p>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).</p>

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