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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->  
Princeton, : Princeton University Press, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui