Elliptic regularization of some semilinear parabolic free boundary problems
From MaRDI portal
Publication:6123800
DOI10.4171/ifb/511arXiv2303.03434MaRDI QIDQ6123800
Alessandro Audrito, Tomás Sanz-Perela
Publication date: 8 April 2024
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.03434
Nonlinear parabolic equations (35K55) Variational methods applied to PDEs (35A15) Free boundary problems for PDEs (35R35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A minimization approach to hyperbolic Cauchy problems
- Nonlinear wave equations as limits of convex minimization problems: proof of a conjecture by De Giorgi
- Parabolic equations and the bounded slope condition
- Compact sets in the space \(L^ p(0,T;B)\)
- The regularity of free boundaries in higher dimensions
- Conjectures on some evolution problems
- The free boundary of a thermal wave in a strongly absorbing medium
- Spreading equilibria under mildly singular potentials: pancakes versus droplets
- Weighted energy-dissipation principle for gradient flows in metric spaces
- Existence of evolutionary variational solutions via the calculus of variations
- Regularity theory for elliptic PDE
- Compactness estimates for minimizers of the Alt-Phillips functional of negative exponents
- Weighted energy-dissipation functionals for gradient flows
- Hausdoff measure estimates of a free boundary for a minimum problem
- Existence of solutions of quenching problems
- The effect of absorption on heat propagation in a medium in which the thermal conductivity depends on temperature
- Self-Similar Blow-Up and Hausdorff Dimension Estimates for a Class of Parabolic Free Boundary Problems
- Elliptic regularization and partial regularity for motion by mean curvature
- A semilinear parabolic equation with free boundary
- Regularity of a free boundary in parabolic potential theory
- A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
- Sur certaines équations paraboliques non linéaires
- Regularity theory for fully nonlinear parabolic obstacle problems
- Classification of global solutions of a free boundary problem in the plane
- On the existence and Hölder regularity of solutions to some nonlinear Cauchy-Neumann problems