Regularization by noise for stochastic Hamilton-Jacobi equations
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Publication:1740593
DOI10.1007/s00440-018-0848-7zbMath1411.60096arXiv1609.07074OpenAlexW2525846494WikidataQ129899551 ScholiaQ129899551MaRDI QIDQ1740593
Publication date: 30 April 2019
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.07074
regularization by noisereflected SDEstochastic Hamilton-Jacobi equationsstochastic $p$-Laplace equationstochastic total variation flow
Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (17)
Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence ⋮ Interpolation results for pathwise Hamilton-Jacobi equations ⋮ Approximation schemes for viscosity solutions of fully nonlinear stochastic partial differential equations ⋮ Nonlinear diffusion equations with nonlinear gradient noise ⋮ Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift ⋮ Path-by-path regularization by noise for scalar conservation laws ⋮ Regularization by transport noises for 3D MHD equations ⋮ Non-explosion by Stratonovich noise for ODEs ⋮ Rescaling nonlinear noise for 1D stochastic parabolic equations ⋮ Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality ⋮ Path-dependent convex conservation laws ⋮ Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness ⋮ High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations ⋮ Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians ⋮ Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise ⋮ Stochastic Navier-Stokes equations and related models ⋮ New regularity results for Hamilton-Jacobi equations and long time behavior of pathwise (stochastic) viscosity solutions
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