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 ...
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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.
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Add this copy of Elliptic Partial Differential Equations and to cart. $19.00, very good condition, Sold by Becker's Books rated 4.0 out of 5 stars, ships from Houston, TX, UNITED STATES, published 2009 by Princeton University Press.
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Book. Octavo; VG-/VG-; orange/black pictorial spine with white text; first printing; exam copy; dust jacket has slight exterior wear; mild crease to front flap edge; very light edge wear; cloth has very slight wear; strong boards; text block exterior tail edge has "examination copy" stamp; otherwise edges show very little wear; illustrated; tight binding; interior clean; pp 677. 1342841. FP New Rockville Stock.
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