Abstract
We study the regularity of the free boundary in the fully nonlinear parabolic thin obstacle problem.
Under the assumption of time semiconvexity, our main result establishes that the free boundary is a
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11771023
Funding statement: Supported by the National Natural Science Foundation of China (No. 11771023).
References
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Articles in the same Issue
- Frontmatter
- Boundary behavior of solutions to fractional p-Laplacian equation
- Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum
- A weakly coupled system of p-Laplace type in a heat conduction problem
- On the interior regularity criteria for the viscoelastic fluid system with damping
- On the L 1-relaxed area of graphs of BV piecewise constant maps taking three values
- On prescribing the number of singular points in a Cosserat-elastic solid
- Stability from rigidity via umbilicity
- Free boundary regularity in the fully nonlinear parabolic thin obstacle problem
- Calderón–Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient
- Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries
- A discrete crystal model in three dimensions: The line-tension limit for dislocations
- Two-dimensional graph model for epitaxial crystal growth with adatoms
- Global existence for the Willmore flow with boundary via Simon’s Li–Yau inequality
- Linearization in magnetoelasticity
- The fractional Hopf differential and a weak formulation of stationarity for the half Dirichlet energy
Articles in the same Issue
- Frontmatter
- Boundary behavior of solutions to fractional p-Laplacian equation
- Existence of distributional solutions to some quasilinear degenerate elliptic systems with low integrability of the datum
- A weakly coupled system of p-Laplace type in a heat conduction problem
- On the interior regularity criteria for the viscoelastic fluid system with damping
- On the L 1-relaxed area of graphs of BV piecewise constant maps taking three values
- On prescribing the number of singular points in a Cosserat-elastic solid
- Stability from rigidity via umbilicity
- Free boundary regularity in the fully nonlinear parabolic thin obstacle problem
- Calderón–Zygmund theory for strongly coupled linear system of nonlocal equations with Hölder-regular coefficient
- Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries
- A discrete crystal model in three dimensions: The line-tension limit for dislocations
- Two-dimensional graph model for epitaxial crystal growth with adatoms
- Global existence for the Willmore flow with boundary via Simon’s Li–Yau inequality
- Linearization in magnetoelasticity
- The fractional Hopf differential and a weak formulation of stationarity for the half Dirichlet energy