Partial Differential Equations in Sobolev and Analytic Spaces - Couverture rigide

Boukarou, Aissa; Zennir, Khaled; Georgiev, Svetlin G

 
9789811298509: Partial Differential Equations in Sobolev and Analytic Spaces
Couverture rigide
ISBN 10 : 9811298505 ISBN 13 : 9789811298509
Editeur : World Scientific Publishing Co Pte Ltd, 2025

Synopsis

Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, fluid dynamics, elasticity, general relativity, and quantum mechanics. They also arise in areas like differential geometry and the calculus of variations.

This book focuses on recent investigations of PDEs in Sobolev and analytic spaces. It consists of twelve chapters, starting with foundational definitions and results on linear, metric, normed, and Banach spaces, which are essential for introducing weak solutions to PDEs. Subsequent chapters cover topics such as Lebesgue integration, Lp spaces, distributions, Fourier transforms, Sobolev and Bourgain spaces, and various types of KdV equations. Advanced topics include higher order dispersive equations, local and global well-posedness, and specific classes of Kadomtsev-Petviashvili equations.

This book is intended for specialists like mathematicians, physicists, engineers, and biologists. It can serve as a graduate-level textbook and a reference for multiple disciplines.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2025
Langue
anglais
ISBN 10 
9811298505
ISBN 13 
9789811298509
Reliure
Relié
Nombre de pages
632
Coordonnées du fabricant
World Scientific Publishing
https://www.worldscientific.com/

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