Regularity Theory for Rough Partial Differential Equations and Parabolic Comparison Revisited

DOI10.1007/978-3-319-11292-3_8zbMath1384.35148OpenAlexW26238767MaRDI QIDQ5374161

Peter K. Friz, Joscha Diehl, Harald Oberhauser

Publication date: 9 April 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:38674c4a-cfe3-4830-8e6f-80092ce412f8

zbMATH Keywords

regularityexistencerough partial differential equationsparabolic comparison and theorem of sums

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (10)

Interpolation results for pathwise Hamilton-Jacobi equations ⋮ Stochastic control with rough paths ⋮ On the Navier-Stokes equation perturbed by rough transport noise ⋮ Central limit theorem under uncertain linear transformations ⋮ Rough path stability of (semi-)linear SPDEs ⋮ Fully nonlinear stochastic and rough PDEs: classical and viscosity solutions ⋮ A priori estimates for rough PDEs with application to rough conservation laws ⋮ Eikonal equations and pathwise solutions to fully non-linear SPDEs ⋮ Lipschitz regularity for viscosity solutions to parabolic \({p(x,t)}\)-Laplacian equations on Riemannian manifolds ⋮ Lipschitz Regularity for a Homogeneous Doubly Nonlinear PDE

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