Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin
| Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
| Autore | Astala Kari <1953-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (696 p.) |
| Disciplina | 515/.93 |
| Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
| Collana | Princeton mathematical series |
| Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
| Soggetto non controllato |
Adjoint equation
Analytic function Analytic proof Banach space Beltrami equation Boundary value problem Bounded mean oscillation Calculus of variations Cantor function Cartesian product Cauchy–Riemann equations Central limit theorem Characterization (mathematics) Complex analysis Complex plane Conformal geometry Conformal map Conjugate variables Continuous function (set theory) Coordinate space Degeneracy (mathematics) Differential equation Directional derivative Dirichlet integral Dirichlet problem Disk (mathematics) Distribution (mathematics) Elliptic operator Elliptic partial differential equation Equation Equations of motion Euler–Lagrange equation Explicit formulae (L-function) Factorization Fourier transform Fubini's theorem Geometric function theory Geometric measure theory Geometry Harmonic conjugate Harmonic function Harmonic map Harmonic measure Hilbert transform Holomorphic function Homeomorphism Hyperbolic geometry Hyperbolic trigonometry Invertible matrix Jacobian matrix and determinant Julia set Lagrangian (field theory) Laplace's equation Limit (mathematics) Linear differential equation Linear equation Linear fractional transformation Linear map Linearization Lipschitz continuity Locally integrable function Lusin's theorem Mathematical optimization Mathematics Maxima and minima Maxwell's equations Measure (mathematics) Metric space Mirror symmetry (string theory) Moduli space Modulus of continuity Monodromy theorem Monotonic function Montel's theorem Operator (physics) Operator theory Partial derivative Partial differential equation Poisson formula Polynomial Quadratic function Quasiconformal mapping Quasiconvex function Quasisymmetric function Renormalization Riemann sphere Riemann surface Riemannian geometry Riesz transform Riesz–Thorin theorem Sign (mathematics) Sobolev space Square-integrable function Support (mathematics) Theorem Two-dimensional space Uniformization theorem Upper half-plane Variable (mathematics) Weyl's lemma (Laplace equation) |
| ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
| Classificazione | SK 560 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910778138403321 |
Astala Kari <1953->
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| Princeton, : Princeton University Press, c2009 | ||
| Lo trovi qui: Univ. Federico II | ||
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Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander
| Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander |
| Autore | Hörmander Lars |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (296 pages) : illustrations |
| Disciplina | 515/.353 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Linear - Numerical solutions
Differential equations, Partial - Numerical solutions |
| Soggetto non controllato |
A priori estimate
Adjoint equation Analytic continuation Analytic function Analytic manifold Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Asymptotic formula Big O notation Calculus on manifolds Canonical transformation Characteristic equation Characteristic function (probability theory) Codimension Cohomology Commutator Complex manifold Complex number Continuous function (set theory) Continuous function Covariant derivative Diffeomorphism Differential equation Differential operator Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elementary proof Elliptic boundary value problem Equation Equivalence class Equivalence relation Error term Existence theorem Existential quantification Exponential function Fourier integral operator Fourier inversion theorem Fourier transform Functional calculus Fundamental solution Hamiltonian vector field Hardy space Harmonic analysis Hermann Weyl Hermitian adjoint Hilbert space Holomorphic function Homogeneous function Hyperbolic partial differential equation Hyperfunction Hypersurface Inclusion map Inequality (mathematics) Integer lattice Integral transform Irreducible representation Lagrangian (field theory) Laplace operator Limit (mathematics) Linear map Local diffeomorphism Manifold Mathematical optimization Maximal torus Monotonic function Ordinary differential equation Oscillatory integral Partial differential equation Partition of unity Poisson bracket Poisson summation formula Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Regularity theorem Renormalization Riemann surface Riemannian manifold Riesz representation theorem Self-adjoint operator Self-adjoint Sign (mathematics) Special case Spectral theorem Spectral theory Summation Support (mathematics) Symplectic geometry Symplectic manifold Taylor series Theorem Toeplitz operator Trace class Trigonometric polynomial Unit disk Variable (mathematics) |
| ISBN | 1-4008-8158-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface / Hörmander, Lars -- Spectral Analysis of Singularities / Hörmander, Lars -- Fourier Integral Operators with Complex Phase Functions / Sjöstrand, J. -- Hypoelliptic Operators with Double Characteristics / Menikoff, A. -- Differential Boundary Value Problems of Principal Type / Melrose, R. B. -- Propagation of Singularities for a Class of Operators with Double Characteristics / Hanges, Nicholas -- Subelliptic Operators / Hörmander, Lars -- Lacunas and Transmissions / Monvel, Louis Boutet de -- Some Classical Theorems in Spectral Theory Revisited / Guillemin, Victor -- Szegö's Theorem and a Complete Symbolic Calculus for Pseudo-Differential Operators / Widom, Harold -- Backmatter |
| Record Nr. | UNINA-9910154745903321 |
Hörmander Lars
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Stationary Processes and Prediction Theory. (AM-44), Volume 44 / / Harry Furstenberg
| Stationary Processes and Prediction Theory. (AM-44), Volume 44 / / Harry Furstenberg |
| Autore | Furstenberg Harry |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (300 pages) |
| Disciplina | 519 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Stochastic processes
Mathematical statistics |
| Soggetto non controllato |
Abelian group
Adjoint equation Almost periodic function Almost surely Automorphism C*-algebra Cartesian product Character group Characteristic function (probability theory) Coefficient Commutative property Complex number Conditional expectation Conditional probability Continuous function (set theory) Continuous function Corollary Coset Counterexample Degeneracy (mathematics) Dimension (vector space) Dimensional analysis Distribution function Eigenvalues and eigenvectors Endomorphism Equation Equivalence class Equivalence relation Ergodic process Ergodic sequence Ergodic theory Ergodicity Error term Estimation Euclidean space Eventually (mathematics) Existence theorem Existential quantification Expectation value (quantum mechanics) Extrapolation Fourier series Fubini's theorem Function (mathematics) Function composition Functional equation Generic point Harmonic analysis Hilbert space Homeomorphism Homomorphism Identity element Independence (probability theory) Inverse function Invertible matrix Least squares Lebesgue measure Limit (mathematics) Linear combination Linear map Linear prediction Linear space (geometry) Markov chain Metric space Nonlinear system Nonnegative matrix Normed algebra Parameter Periodic sequence Pointwise Predictability Prediction Probability distribution Probability measure Probability space Probability Quotient space (topology) Random sequence Random variable Regular sequence Sample space Semigroup Sequence space Sequence Shift operator Sign (mathematics) Special case Stationary process Stochastic process Stochastic Subalgebra Subgroup Subsequence Subset Theorem Time series Topology Uniform convergence Variable (mathematics) Weak topology Zorn's lemma |
| ISBN | 1-4008-8160-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- ACKNOWLEDGEMENTS -- CONTENTS -- INTRODUCTION -- CHAPTER 1 . STOCHASTIC PROCESSES AND STOCHASTIC SEQUENCES -- CHAPTER 2. THE PREDICTION PROBLEMS FOR SEQUENCES -- CHAPTER 3. EXAMPLES AND COUNTEREXAMPLES -- CHAPTER 4 . SUBPROCESSES OP MARKOFF PROCESSES -- CHAPTER 5. STOCHASTIC SEMIGROUPS AND CONTINUOUS PREDICTABILITY -- CHAPTER 6. STATISTICAL PREDICTABILITY -- CHAPTER 7. INDUCTIVE FUNCTIONS -- CHAPTER 8. INDUCTIVE FUNCTIONS AND MARKOFF PROCESSES -- CHAPTER 9 . PROJECTIVE INDUCTIVE FUNCTIONS AND PREDICTION -- BIBLIOGRAPHY -- Backmatter |
| Record Nr. | UNINA-9910154745803321 |
Furstenberg Harry
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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