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Partial Differential Equations In Sobolev And Analytic Spaces by Aissa Boukarou (University Of Science And Technology Houari Boumediene, Algeria) at Abbey's Bookshop,
Partial Differential Equations In Sobolev And Analytic Spaces
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Aissa Boukarou (University Of Science And Technology Houari Boumediene, Algeria) Khaled Zennir (Qassim University, Saudi Arabia)

Partial Differential Equations In Sobolev And Analytic Spaces

Aissa Boukarou (University Of Science And Technology Houari Boumediene, Algeria),  Khaled Zennir (Qassim University, Saudi Arabia),  Svetlin G Georgiev (Sorbonne University, France)

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English
World Scientific Publishing Co Pte Ltd
07 February 2025
Differential calculus & equations; Mathematical physics
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.
By:   , , , ,
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
ISBN:   9789811298509
ISBN 10:   9811298505
Pages:   632
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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