Elliptic Partial Differential Equations with Almost-Real Coefficients - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Partial Differential Equations with Almost-Real Coefficients write by Ariel Barton. This book was released on 2013-04-22. Elliptic Partial Differential Equations with Almost-Real Coefficients available in PDF, EPUB and Kindle. In this monograph the author investigates divergence-form elliptic partial differential equations in two-dimensional Lipschitz domains whose coefficient matrices have small (but possibly nonzero) imaginary parts and depend only on one of the two coordinates. He shows that for such operators, the Dirichlet problem with boundary data in $L^q$ can be solved for $q1$ small enough, and provide an endpoint result at $p=1$.
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) write by Kari Astala. This book was released on 2009-01-18. Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) available in PDF, EPUB and Kindle. This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.
Partial Differential Equations
Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Partial Differential Equations write by Walter A. Strauss. This book was released on 2007-12-21. Partial Differential Equations available in PDF, EPUB and Kindle. Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane write by Kari Astala. This book was released on 2008-12-29. Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane available in PDF, EPUB and Kindle. This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.
CRC Concise Encyclopedia of Mathematics
CRC Concise Encyclopedia of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook CRC Concise Encyclopedia of Mathematics write by Eric W. Weisstein. This book was released on 2002-12-12. CRC Concise Encyclopedia of Mathematics available in PDF, EPUB and Kindle. Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
