Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin
| Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin |
| Autore | Freidlin Mark Iosifovich |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (557 pages) |
| Disciplina | 515.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Partial
Probabilities Integration, Functional |
| Soggetto non controllato |
A priori estimate
Absolute continuity Almost surely Analytic continuation Axiom Big O notation Boundary (topology) Boundary value problem Bounded function Calculation Cauchy problem Central limit theorem Characteristic function (probability theory) Chebyshev's inequality Coefficient Comparison theorem Continuous function (set theory) Continuous function Convergence of random variables Cylinder set Degeneracy (mathematics) Derivative Differential equation Differential operator Diffusion equation Diffusion process Dimension (vector space) Direct method in the calculus of variations Dirichlet boundary condition Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elliptic operator Elliptic partial differential equation Equation Existence theorem Exponential function Feynman–Kac formula Fokker–Planck equation Function space Functional analysis Fundamental solution Gaussian measure Girsanov theorem Hessian matrix Hölder condition Independence (probability theory) Integral curve Integral equation Invariant measure Iterated logarithm Itô's lemma Joint probability distribution Laplace operator Laplace's equation Lebesgue measure Limit (mathematics) Limit cycle Limit point Linear differential equation Linear map Lipschitz continuity Markov chain Markov process Markov property Maximum principle Mean value theorem Measure (mathematics) Modulus of continuity Moment (mathematics) Monotonic function Navier–Stokes equations Nonlinear system Ordinary differential equation Parameter Partial differential equation Periodic function Poisson kernel Probabilistic method Probability space Probability theory Probability Random function Regularization (mathematics) Schrödinger equation Self-adjoint operator Sign (mathematics) Simultaneous equations Smoothness State-space representation Stochastic calculus Stochastic differential equation Stochastic Support (mathematics) Theorem Theory Uniqueness theorem Variable (mathematics) Weak convergence (Hilbert space) Wiener process |
| ISBN | 1-4008-8159-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS -- II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS -- III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS -- V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION -- VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA -- LIST OF NOTATIONS -- REFERENCES -- Backmatter |
| Record Nr. | UNINA-9910154753703321 |
Freidlin Mark Iosifovich
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75 / / Joseph John Kohn, Gerald B. Folland
| The Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75 / / Joseph John Kohn, Gerald B. Folland |
| Autore | Folland Gerald B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (157 pages) |
| Disciplina | 515/.353 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Neumann problem
Differential operators Complex manifolds |
| Soggetto non controllato |
A priori estimate
Almost complex manifold Analytic function Apply Approximation Bernhard Riemann Boundary value problem Calculation Cauchy–Riemann equations Cohomology Compact space Complex analysis Complex manifold Coordinate system Corollary Derivative Differentiable manifold Differential equation Differential form Differential operator Dimension (vector space) Dirichlet boundary condition Eigenvalues and eigenvectors Elliptic operator Equation Estimation Euclidean space Existence theorem Exterior (topology) Finite difference Fourier analysis Fourier transform Frobenius theorem (differential topology) Functional analysis Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Irreducible representation Line segment Linear programming Local coordinates Lp space Manifold Monograph Multi-index notation Nonlinear system Operator (physics) Overdetermined system Partial differential equation Partition of unity Potential theory Power series Pseudo-differential operator Pseudoconvexity Pseudogroup Pullback Regularity theorem Remainder Scientific notation Several complex variables Sheaf (mathematics) Smoothness Sobolev space Special case Statistical significance Sturm–Liouville theory Submanifold Tangent bundle Theorem Uniform norm Vector field Weight function |
| ISBN | 1-4008-8152-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- FOREWORD -- TABLE OF CONTENTS -- CHAPTER I. FORMULATION OF THE PROBLEM -- CHAPTER II. THE MAIN THEOREM -- CHAPTER III. INTERPRETATION OF THE MAIN THEOREM -- CHAPTER IV. APPLICATIONS -- CHAPTER V. THE BOUNDARY COMPLEX -- CHAPTER VI. OTHER METHODS AND RESULTS -- APPENDIX: THE FUNCTIONAL ANALYSIS OF DIFFERENTIAL OPERATORS -- REFERENCES -- TERMINOLOGICAL INDEX -- TERMINOLOGICAL INDEX |
| Record Nr. | UNINA-9910154743903321 |
Folland Gerald B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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