Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane PMS 48 is popular PDF and ePub book, written by Kari Astala in 2009, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane PMS 48 can be Read Online from any device for your convenience.
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane PMS 48 Book PDF Summary
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.
Detail Book of Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane PMS 48 PDF
- Author : Kari Astala
- Release : 26 June 2024
- Publisher : Princeton University Press
- ISBN : 9780691137773
- Genre : Mathematics
- Total Page : 695 pages
- Language : English
- PDF File Size : 15,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane PMS 48 by Kari Astala, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
