Stochastic partial differential equations with gradient driven by space-time fractional noises

DOI10.1007/s11464-021-0875-zOpenAlexW3134668409WikidataQ115377911 ScholiaQ115377911MaRDI QIDQ2048173

Xu Yang, Yiming Jiang

Publication date: 5 August 2021

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-021-0875-z

zbMATH Keywords

uniquenessHölder continuitystrong solutionfractional noisestochastic partial differential equation (SPDE)

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Strong solutions to PDEs (35D35)

Cites Work

• Unnamed Item
• Approximations to the stochastic Burgers equation
• Log-Harnack inequality for stochastic Burgers equations and applications
• Stochastic generalized Burgers equations driven by fractional noises
• Multifractal analysis of superprocesses with stable branching in dimension one
• An \(\infty\)-dimensional inhomogeneous Langevin's equation
• Joint continuity of the intersection local times of Markov processes
• Strong existence and uniqueness to a class of nonlinear SPDEs driven by Gaussian colored noises
• Super-Brownian motion as the unique strong solution to an SPDE
• Existence and uniqueness results for semilinear stochastic partial differential equations
• Stochastic modeling in nanoscale biophysics: subdiffusion within proteins
• Irreducibility and asymptotics of stochastic Burgers equation driven by \(\alpha \)-stable processes
• Central limit theorem for an additive functional of the fractional Brownian motion
• Stochastic Burgers Equation with Random Initial Velocities: A Malliavin Calculus Approach
• STOCHASTIC CAHN–HILLIARD EQUATION WITH FRACTIONAL NOISE
• Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
• Stochastic partial differential equations driven by space-time fractional noises
• NO ARBITRAGE UNDER TRANSACTION COSTS, WITH FRACTIONAL BROWNIAN MOTION AND BEYOND
• Fractional Brownian Motions, Fractional Noises and Applications
• REGULARIZATION OF QUASILINEAR HEAT EQUATIONS BY A FRACTIONAL NOISE
• Inequalities for the moments of Wiener integrals with respect to a fractional Brownian motion
• Heat equations with fractional white noise potentials

This page was built for publication: Stochastic partial differential equations with gradient driven by space-time fractional noises