REGULARITY OF THE FREE BOUNDARY FOR SOME ELLIPTIC AND PARABOLIC PROBLEMS. I

DOI10.1081/PDE-100002241zbMath0992.35123MaRDI QIDQ2747910

Leonardo Prange Bonorino

Publication date: 5 September 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Lipschitz surfaceone-phase Stefan problem\(C^1\) surfacesingular points of the free boundary

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) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)

Related Items (2)

Regularity theory for fully nonlinear parabolic obstacle problems ⋮ REGULARITY OF THE FREE BOUNDARY FOR SOME ELLIPTIC AND PARABOLIC PROBLEMS. II

Cites Work

• Interior a priori estimates for solutions of fully nonlinear equations
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• On solving certain nonlinear partial differential equations by accretive operator methods
• Potential methods in variational inequalities
• Asymptotic behaviour of free boundaries at their singular points
• The regularity of free boundaries in higher dimensions
• On the smoothness of superharmonics which solve a minimum problem
• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
• Hölder gradient estimates for fully nonlinear elliptic equations
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• Variational inequalities
• On the regularity of the solution of a variational inequality
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