Uniqueness without Growth Condition for the Mean Curvature Equation with Radial Initial Data
From MaRDI portal
Publication:4428241
DOI10.1081/PDE-120024520zbMath1030.35098MaRDI QIDQ4428241
Olivier Ley, Samuel Biton, Emmanuel Chasseigne
Publication date: 14 September 2003
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interior estimates for hypersurfaces moving by mean curvature
- Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
- Non-negative solutions of generalized porous medium equations
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Motion of a set by the curvature of its boundary
- Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications
- A new approach to front propagation problems: theory and applications
- A geometrical approach to the study of unbounded solutions of quasilinear parabolic equations
- Theory of extended solutions for fast-diffusion equations in optimal classes of data. Radiation from singularities
- Uniqueness for parabolic equations without growth condition and applications to the mean curvature flow in \(\mathbb R^2\)
- Stabilization of solutions of a degenerate nonlinear diffusion problem
- Widder’s Inversion Theorem and the Initial Distribution Problems
- User’s guide to viscosity solutions of second order partial differential equations
- Front Propagation and Phase Field Theory
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces