Stochastic Partial Differential Equations and Applications - VII.
Stochastic Partial Differential Equations and Applications gives an overview of current state-of-the-art stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. Featuring contributions from leading expert participants at an...
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| Format: | eBook |
| Language: | English |
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Philadelphia, PA :
CRC Press,
2005.
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| Series: | Lecture notes in pure and applied mathematics.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Cover
- Title
- Copyright
- Contents
- Preface
- Contributors
- Chapter 1: Weak, Strong, and Four Semigroup Solutions of Classical Stochastic Di.erential Equations: An Example
- Chapter 2: Feynman Path Integrals for Time-Dependent Potentials
- Chapter 3: The Irreducibility of Transition Semigroups and Approximate Controllability
- Chapter 4: Gradient Bounds for Solutions of Elliptic and Parabolic Equations
- Chapter 5: Asymptotic Compactness and Absorbing Sets for Stochastic Burgers' Equations Driven by Space-Time White Noise and for Some Two-Dimensional Stochastic Navier-Stokes Equations on Certain Unbounded Domains
- Chapter 6: A Characterization of Approximately Controllable Linear Stochastic Di.erential Equations
- Chapter 7: Asymptotic Behavior of Systems of Stochastic Partial Di.erential Equations with Multiplicative Noise
- Chapter 8: On L1 (H, æ)-Properties of Ornstein-Uhlenbeck Semigroups
- Chapter 9: Intertwining and the Markov Uniqueness Problem on Path Spaces
- Chapter 10: On Some Problems of Regularity in Two-Dimensional Stochastic Hydrodynamics
- Chapter 11: Two Models of K41
- Chapter 12: Exponential Ergodicity for Stochastic Reaction-Di.usion Equations
- Chapter 13: Stochastic Optimal Control of Delay Equations Arising in Advertising Models
- Chapter 14: On Acceleration of Approximation Methods
- Chapter 15: Stochastic Variational Equations in White-Noise Analysis
- Chapter 16: On the Foundation of the Lp-Theory of Stochastic Partial Differential Equations
- Chapter 17: Levy Noises and Stochastic Integrals on Banach Spaces
- Chapter 18: A Stabilization Phenomenon for a Class of Stochastic Partial Differential Equations
- Chapter 19: Stochastic Heat and Wave Equations Driven by an Impulsive Noise
- Chapter 20: Harmonic Functions for Generalized Mehler Semigroups.
- Chapter 21: The Dynamics of the Three-Dimensional Navier-Stokes Equations
- Chapter 22: Stochastic Navier-Stokes Equations: Solvability, Control, and Filtering
- Chapter 23: Stability of the Optimal Filter via Pointwise Gradient Estimates
- Chapter 24: Fractal Burgers' Equation Driven by Levy Noise
- Chapter 25: Qualitative Properties of Solutions to Stochastic Burgers' System of Equations
- Chapter 26: On the Stochastic Fubini Theorem in Infinite Dimensions
- Chapter 27: Ito-Tanaka's Formula for Stochastic Partial Differential Equations Driven by Additive Space-Time White Noise.