A two-phase parabolic free boundary problem with coefficients below the Lipschitz threshold

DOI10.1007/s11118-011-9248-7zbMath1253.35225OpenAlexW2065931304MaRDI QIDQ438868

Jyotshana V. Prajapat, Erik Lindgren

Publication date: 31 July 2012

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

Full work available at URL: https://doi.org/10.1007/s11118-011-9248-7

zbMATH Keywords

regularityparabolic equationblow upfree boundaryobstacle problemmembrane

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Free boundary problems for PDEs (35R35)

Cites Work

• Unnamed Item
• Unnamed Item
• Two-phase quadrature domains
• A two phase free boundary problem related to quadrature domains
• A parabolic two-phase obstacle-like equation
• On the two-phase membrane problem with coefficients below the Lipschitz threshold
• Compact sets in the space \(L^ p(0,T;B)\)
• Compact Sobolev imbeddings on finite measure spaces
• A parabolic almost monotonicity formula
• Self-Similar Blow-Up and Hausdorff Dimension Estimates for a Class of Parabolic Free Boundary Problems
• A semilinear parabolic equation with free boundary
• Sharp results for the regularity and stability of the free boundary in the obstacle problem
• C^{1, 1} Regularity in semilinear elliptic problems
• Regularity of a free boundary in parabolic potential theory
• Regularity of a Parabolic Free Boundary Problem with Hölder Continuous Coefficients
• The Two-Phase Membrane Problem--Regularity of the Free Boundaries in Higher Dimensions
• An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary

This page was built for publication: A two-phase parabolic free boundary problem with coefficients below the Lipschitz threshold