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.
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. 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.
Elliptic Systems and Quasiconformal Mappings
Elliptic Systems and Quasiconformal Mappings - 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 Systems and Quasiconformal Mappings write by Heinrich Renelt. This book was released on 1988. Elliptic Systems and Quasiconformal Mappings available in PDF, EPUB and Kindle. This monograph, which includes new results, is concerned with elliptic systems of first-order partial differential equations in the plane, in which quasiconformal mappings play a crucial role, and whose solutions are generalized analytic functions of the second kind, denoted here (µ,ν)-solutions. This is a brilliant translation of the German edition published in the Tuebner-text series in 1982.
Spectral Theory, Function Spaces and Inequalities
Spectral Theory, Function Spaces and Inequalities - 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 Spectral Theory, Function Spaces and Inequalities write by B. Malcolm Brown. This book was released on 2011-11-06. Spectral Theory, Function Spaces and Inequalities available in PDF, EPUB and Kindle. This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory. In particular, it covers current work on measures of non-compactness and real interpolation, sharp Hardy-Littlewood-Sobolev inequalites, the HELP inequality, error estimates and spectral theory of elliptic operators, pseudo differential operators with discontinuous symbols, variable exponent spaces and entropy numbers. These papers contribute to areas of analysis which have been and continue to be heavily influenced by the leading British analysts David Edmunds and Des Evans. This book marks their respective 80th and 70th birthdays.
Frontiers in Complex Dynamics
Frontiers in Complex Dynamics - 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 Frontiers in Complex Dynamics write by Araceli Bonifant. This book was released on 2014-03-16. Frontiers in Complex Dynamics available in PDF, EPUB and Kindle. John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.
