Necessary and sufficient conditions for path-independence of Girsanov transformation for infinite-dimensional stochastic evolution equations
From MaRDI portal
Publication:2259125
DOI10.1007/s11464-014-0364-8zbMath1312.60084OpenAlexW1999974591MaRDI QIDQ2259125
Publication date: 27 February 2015
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa22315/Download/0022315-22022017111950.pdf
stochastic heat equationGalerkin approximationGirsanov transformationFréchet differentiationpath-independenceBurgers-KPZ type equationsinfinite-dimensional stochastic evolution equations
Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items
On the path-independence of the Girsanov transformation for stochastic evolution equations with jumps in Hilbert spaces, On path-independent Girsanov transform, Path independence of additive functionals for stochastic differential equations under \(G\)-framework, Space-distribution PDEs for path independent additive functionals of McKean–Vlasov SDEs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- Compressible fluid flow and systems of conservation laws in several space variables
- Stochastic Burgers' equations and their semi-classical expansions
- Stratified structure of the Universe and Burgers' equation -- a probabilistic approach
- On dynamic investment strategies
- Invariance of Malliavin fields on Itô's Wiener space and on abstract Wiener space
- A link of stochastic differential equations to nonlinear parabolic equations
- A concise course on stochastic partial differential equations
- Stochastic calculus of variations in mathematical finance.
- Controlled Markov processes and viscosity solutions
- Dynamic Scaling of Growing Interfaces
- Functional Integration and Partial Differential Equations. (AM-109)
- User’s guide to viscosity solutions of second order partial differential equations
- Classical mechanics, the diffusion (heat) equation, and the Schrödinger equation
- Remarkable statistical behavior for truncated Burgers–Hopf dynamics
- Ergodicity for Infinite Dimensional Systems
- Harnack Inequalities for Stochastic Partial Differential Equations
- On stochastic diffusion equations and stochastic Burgers’ equations
- Stock Price Distributions with Stochastic Volatility: An Analytic Approach
- Stochastic Equations in Infinite Dimensions