Hölder gradient estimates on \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients

DOI10.1007/s42985-021-00133-4zbMath1491.35085OpenAlexW3213219503WikidataQ115369755 ScholiaQ115369755MaRDI QIDQ2063954

Shota Tateyama

Publication date: 3 January 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-021-00133-4

zbMATH Keywords

fully nonlinear parabolic equationsviscosity solutionsregularity of solutionsvanishing mean oscillation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10) Viscosity solutions to PDEs (35D40)

Cites Work

• On \(C^{1+\alpha}\) regularity of solutions of Isaacs parabolic equations with VMO coefficients
• Interior a priori estimates for solutions of fully nonlinear equations
• Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence
• \(W^{1,p}\)-interior estimates for solutions of fully nonlinear, uniformly elliptic equations
• Uniqueness for \(L_{p}\)-viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms
• On \(L^p\)-viscosity solutions of parabolic bilateral obstacle problems with unbounded ingredients
• Weak Harnack inequality for fully nonlinear uniformly parabolic equations with unbounded ingredients and applications
• A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time
• Hölder gradient estimates for fully nonlinear elliptic equations
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• User’s guide to viscosity solutions of second order partial differential equations
• Remarks on nonlinear uniformly parabolic equations
• L^p- Theory for fully nonlinear uniformly parabolic equations
• Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian
• Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item