Partial Differential Equations in Sobolev and Analytic Spaces

Partial Differential Equations in Sobolev and Analytic Spaces | 10.28 MB

Title: Partial Differential Equations in Sobolev and Analytic Spaces
Author: Aissa Boukarou, Khaled Zennir & Svetlin G Georgiev

Description:
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.
Contents:

• Preliminaries
  
• Lebesgue Integration
  
• The Lp Spaces
  
• Distributions: The Fourier Transform
  
• Sobolev Spaces: Analytic Spaces
  
• Original Method for the KdV Equation in Hs(ℝ)
  
• Fifth-Order Shallow Water Equation
  
• Higher-Order Nonlinear Dispersive Equation
  
• Kadomtsev–Petviashvili in Analytic Spaces
  
• Generalized Kadomtsev–Petviashvili I Equation
  
• Coupled System of KDV Equations in Gevrey Spaces
  
• System of Generalized KdV Equations
  

Readership: This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. It is suitable for researchers in PDEs, mathematics, physics, biology, chemistry and informatics.



DOWNLOAD:

https://rapidgator.net/file/ff23008ae08d503eb7fd204fb38c870b/Partial_Differential_Equations_in_Sobolev_and_Analytic_Spaces.rar

https://nitroflare.com/view/68500A741F49079/Partial_Differential_Equations_in_Sobolev_and_Analytic_Spaces.rar

We need your support!
Make a donation to help us stay online
        
Bitcoin (BTC)
bc1q08g9d22cxkawsjlf8etuek2pc9n2a3hs4cdrld
	
Bitcoin Cash (BCH)
qqvwexzhvgauxq2apgc4j0ewvcak6hh6lsnzmvtkem

Ethereum (ETH)
0xb55513D2c91A6e3c497621644ec99e206CDaf239

Litecoin (LTC)
ltc1qt6g2trfv9tjs4qj68sqc4uf0ukvc9jpnsyt59u

USDT (ERC20)
0xb55513D2c91A6e3c497621644ec99e206CDaf239

USDT (TRC20)
TYdPNrz7v1P9riWBWZ317oBgJueheGjATm