TY  - GEN
T1  - Elliptic partial differential equations and quasiconformal mappings in the plane
T2  - Princeton mathematical series ;
A1  - Astala, Kari, 1953-
A2  - Iwaniec, Tadeusz
A2  - Martin, Gaven
LA  - English
PP  - Princeton, NJ
PB  - Princeton University Press
YR  - 2009
UL  - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_ocn441714631
AB  - 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. Th.
OP  - 677
CN  - QA377 .A836 2009eb
SN  - 9781400830114
SN  - 1400830117
SN  - 1282157272
SN  - 9781282157279
SN  - 9786612157271
SN  - 6612157275
SN  - 9780691137773
SN  - 0691137773
KW  - Differential equations, Elliptic.
KW  - Quasiconformal mappings.
KW  - Équations différentielles elliptiques.
KW  - Applications quasi conformes.
KW  - MATHEMATICS : Complex Analysis.
KW  - Differential equations, Elliptic
KW  - Quasiconformal mappings
KW  - Elliptische Differentialgleichung
KW  - Adjoint equation.
KW  - Analytic function.
KW  - Analytic proof.
KW  - Banach space.
KW  - Beltrami equation.
KW  - Boundary value problem.
KW  - Bounded mean oscillation.
KW  - Calculus of variations.
KW  - Cantor function.
KW  - Cartesian product.
KW  - Cauchy-Riemann equations.
KW  - Central limit theorem.
KW  - Characterization (mathematics).
KW  - Complex analysis.
KW  - Complex plane.
KW  - Conformal geometry.
KW  - Conformal map.
KW  - Conjugate variables.
KW  - Continuous function (set theory).
KW  - Coordinate space.
KW  - Degeneracy (mathematics).
KW  - Differential equation.
KW  - Directional derivative.
KW  - Dirichlet integral.
KW  - Dirichlet problem.
KW  - Disk (mathematics).
KW  - Distribution (mathematics).
KW  - Elliptic operator.
KW  - Elliptic partial differential equation.
KW  - Equation.
KW  - Equations of motion.
KW  - Euler-Lagrange equation.
KW  - Explicit formulae (L-function).
KW  - Factorization.
KW  - Fourier transform.
KW  - Fubini's theorem.
KW  - Geometric function theory.
KW  - Geometric measure theory.
KW  - Geometry.
KW  - Harmonic conjugate.
KW  - Harmonic function.
KW  - Harmonic map.
KW  - Harmonic measure.
KW  - Hilbert transform.
KW  - Holomorphic function.
KW  - Homeomorphism.
KW  - Hyperbolic geometry.
KW  - Hyperbolic trigonometry.
KW  - Invertible matrix.
KW  - Jacobian matrix and determinant.
KW  - Julia set.
KW  - Lagrangian (field theory).
KW  - Laplace's equation.
KW  - Limit (mathematics).
KW  - Linear differential equation.
KW  - Linear equation.
KW  - Linear fractional transformation.
KW  - Linear map.
KW  - Linearization.
KW  - Lipschitz continuity.
KW  - Locally integrable function.
KW  - Lusin's theorem.
KW  - Mathematical optimization.
KW  - Mathematics.
KW  - Maxima and minima.
KW  - Maxwell's equations.
KW  - Measure (mathematics).
KW  - Metric space.
KW  - Mirror symmetry (string theory).
KW  - Moduli space.
KW  - Modulus of continuity.
KW  - Monodromy theorem.
KW  - Monotonic function.
KW  - Montel's theorem.
KW  - Operator (physics).
KW  - Operator theory.
KW  - Partial derivative.
KW  - Partial differential equation.
KW  - Poisson formula.
KW  - Polynomial.
KW  - Quadratic function.
KW  - Quasiconformal mapping.
KW  - Quasiconvex function.
KW  - Quasisymmetric function.
KW  - Renormalization.
KW  - Riemann sphere.
KW  - Riemann surface.
KW  - Riemannian geometry.
KW  - Riesz transform.
KW  - Riesz-Thorin theorem.
KW  - Sign (mathematics).
KW  - Sobolev space.
KW  - Square-integrable function.
KW  - Support (mathematics).
KW  - Theorem.
KW  - Two-dimensional space.
KW  - Uniformization theorem.
KW  - Upper half-plane.
KW  - Variable (mathematics).
KW  - Weyl's lemma (Laplace equation).
ER  -