Research in PDEs and Related Fields : The 2019 Spring School, Sidi Bel Abbès, Algeria (Tutorials, Schools, and Workshops in the Mathematical Sciences)

Ammari, Kaïs (EDT)

Birkhauser Verlag AG（2023/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 186 p.
• 商品コード 9783031142703

Full Description

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.

Contents

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).