Uniform Lipschitz regularity of a singular perturbation problem

zbMath0863.35008MaRDI QIDQ1894156

Luis A. Caffarelli

Publication date: 3 June 1997

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

local Lipschitz continuityexplicit estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25)

Related Items (13)

Unnamed Item ⋮ Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames ⋮ Sharp regularity for a singular fully nonlinear parabolic free boundary problem ⋮ A local monotonicity formula for an inhomogeneous singular perturbation problem and applications ⋮ Symmetry and approximate symmetry of a nonlinear elliptic problem over a ring ⋮ New trends in free boundary problems ⋮ A parabolic almost monotonicity formula ⋮ Singularly perturbed fully nonlinear parabolic problems and their asymptotic free boundaries ⋮ A bifurcation phenomenon in a singularly perturbed one-phase free boundary problem of phase transition ⋮ Least supersolution approach to regularizing free boundary problems ⋮ Capillary surfaces arising in singular perturbation problems ⋮ Regularity in parabolic phase transition problems ⋮ Uniqueness of solution to a free boundary problem from combustion

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