Gradient type noises. II: Systems of stochastic partial differential equations
From MaRDI portal
Publication:1019699
DOI10.1016/j.jfa.2009.02.006zbMath1210.60066OpenAlexW1980572921MaRDI QIDQ1019699
Publication date: 4 June 2009
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2009.02.006
semigroupsstochastic partial differential equationsfractional calculusfunction spacesfractional Brownian sheet
Fractional derivatives and integrals (26A33) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items
Elementary Pathwise Methods for Nonlinear Parabolic and Transport Type Stochastic Partial Differential Equations with Fractal Noise, Blow‐up regions for a class of fractional evolution equations with smoothed quadratic nonlinearities, Semigroups, potential spaces and applications to (S)PDE, Transport equations with fractal noise-existence, uniqueness and regularity of the solution, (S)PDE on Fractals and Gaussian Noise, Burgers' system with a fractional Brownian random force, A non-linear parabolic PDE with a distributional coefficient and its applications to stochastic analysis, Regularity of the solutions to SPDEs in metric measure spaces, Multidimensional stochastic differential equations with distributional drift, STOCHASTIC VOLTERRA EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTION WITH HURST PARAMETER H > 1/2, Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters \(H\in (1/3,1/2\)]
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp Gaussian regularity on the circle, and applications to the fractional stochastic heat equation
- Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
- On fractional stable processes and sheets: white noise approach
- Young integrals and SPDEs
- Stochastic heat equation driven by fractional noise and local time
- Semigroups of linear operators and applications to partial differential equations
- Pseudodifferential operators and nonlinear PDE
- Integration with respect to fractal functions and stochastic calculus. I
- A parabolic stochastic differential equation with fractional Brownian motion input
- The stochastic wave equation in two spatial dimensions
- Forward, backward and symmetric stochastic integration
- Nonlinear evolution equations with gradient coupled noise
- Evolution equations driven by a fractional Brownian motion
- Stochastic evolution equations with fractional Brownian motion
- Differential equations driven by fractional Brownian motion
- Fractional Brownian sheet
- Finite element methods for parabolic stochastic PDE's
- Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
- Sample functions of the Gaussian process
- Integration with respect to Fractal Functions and Stochastic Calculus II
- Multiparameter Fractional Brownian Motion And Quasi-Linear Stochastic Partial Differential Equations
- FRACTIONAL BROWNIAN MOTION AND STOCHASTIC EQUATIONS IN HILBERT SPACES
- Random motion of strings and related stochastic evolution equations
- Fractional Brownian Fields as Integrals of White Noise
- On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
- Representation of fractional powers of infinitesimal generators of semigroups
- Heat equations with fractional white noise potentials
- Stochastic Equations in Infinite Dimensions
