Schauder type estimates for ``flat viscosity solutions to non-convex fully nonlinear parabolic equations and applications

DOI10.1007/s11118-017-9677-zzbMath1407.35037OpenAlexW2779922002MaRDI QIDQ1719548

João Vítor da Silva, Disson dos Prazeres

Publication date: 8 February 2019

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-017-9677-z

zbMATH Keywords

partial regularityflat viscosity solutionsmerely continuous datanon-convex fully nonlinear parabolic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45) Viscosity solutions to PDEs (35D40)

Related Items (13)

Higher order parabolic boundary Harnack inequality in \(C^1\) and \(C^{k, \alpha}\) domains ⋮ Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary ⋮ Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries ⋮ Sharp regularity estimates for quasilinear evolution equations ⋮ \(C^{1,\alpha}\)-regularity for solutions of degenerate/singular fully nonlinear parabolic equations ⋮ Numerical solutions of fractional parabolic equations with generalized <scp>Mittag–Leffler</scp> kernels ⋮ Gradient regularity for a singular parabolic equation in non-divergence form ⋮ Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications ⋮ Sharp regularity for degenerate obstacle type problems: a geometric approach ⋮ Regularity estimates for fully nonlinear elliptic PDEs with general Hamiltonian terms and unbounded ingredients ⋮ Fully nonlinear parabolic dead core problems ⋮ Geometric \(C^{1 + \alpha}\) regularity estimates for nonlinear evolution models ⋮ An asymptotic treatment for non-convex fully nonlinear elliptic equations: Global Sobolev and BMO type estimates

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