Nonlinear diffusion equations with nonlinear gradient noise
From MaRDI portal
Publication:2184594
DOI10.1214/20-EJP436zbMath1441.60045arXiv1811.08356MaRDI QIDQ2184594
Benjamin Gess, Konstantinos Anastasios Dareiotis
Publication date: 29 May 2020
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.08356
Degenerate parabolic equations (35K65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Quasilinear parabolic equations (35K59)
Related Items
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence* ⋮ Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift ⋮ The obstacle problem for stochastic porous media equations ⋮ Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise ⋮ Porous media equations with nonlinear gradient noise and Dirichlet boundary conditions ⋮ Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise ⋮ Quasilinear rough partial differential equations with transport noise ⋮ The stochastic thin-film equation: existence of nonnegative martingale solutions ⋮ On stochastic porous-medium equations with critical-growth conservative multiplicative noise ⋮ Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise ⋮ Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions ⋮ Finite time extinction for the 1D stochastic porous medium equation with transport noise
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A relatively short proof of Itô's formula for SPDEs and its applications
- Scalar conservation laws with rough (stochastic) fluxes
- Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case
- Stochastic partial differential equations: an introduction
- An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
- Degenerate parabolic stochastic partial differential equations: quasilinear case
- Stochastic porous media equations
- Mean field games. I: The stationary case
- Mean field games. II: Finite horizon and optimal control
- Scalar conservation laws with multiple rough fluxes
- Stochastic scalar conservation laws
- Mean field games
- Uniqueness of motion by mean curvature perturbed by stochastic noise.
- Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise
- Estimates for nonlinear stochastic partial differential equations with gradient noise via Dirichlet forms
- Entropy solutions for stochastic porous media equations
- Regularization by noise for stochastic Hamilton-Jacobi equations
- Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise
- Path-dependent convex conservation laws
- Strong solutions for stochastic partial differential equations of gradient type
- Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Existence of strong solutions for Itô's stochastic equations via approximations
- Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians
- Stochastic continuity equations with conservative noise
- Supremum estimates for degenerate, quasilinear stochastic partial differential equations
- On the boundedness of solutions of SPDEs
- A concise course on stochastic partial differential equations
- Stochastic non-isotropic degenerate parabolic-hyperbolic equations
- Degenerate parabolic stochastic partial differential equations
- Multi-valued, singular stochastic evolution inclusions
- Entropic and gradient flow formulations for nonlinear diffusion
- Ergodicity of Stochastic Curve Shortening Flow in the Plane
- Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations
- A degenerate parabolic–hyperbolic Cauchy problem with a stochastic force
- Fully nonlinear stochastic partial differential equations
- Fully nonlinear stochastic partial differential equations: non-smooth equations and applications
- Total variation flow perturbed by gradient linear multiplicative noise
- Long‐Time Behavior, Invariant Measures, and Regularizing Effects for Stochastic Scalar Conservation Laws
- Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes
- A stochastic selection principle in case of fattening for curvature flow
This page was built for publication: Nonlinear diffusion equations with nonlinear gradient noise
