A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions. II: Asymptotic profiles of solutions and radial terrace solution
DOI10.1016/j.matpur.2023.07.004zbMath1522.35074OpenAlexW4385494904MaRDI QIDQ6072995
Hiroshi Matsuzawa, Yoshio Yamada, Yuki Kaneko
Publication date: 15 September 2023
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2023.07.004
asymptotic behaviorfree boundary problemspreadingcomparison methodpropagating terracelogarithmic shifting
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Free boundary problems for PDEs (35R35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple spreading phenomena for a free boundary problem of a reaction-diffusion equation with a certain class of bistable nonlinearity
- The Stefan problem for the Fisher-KPP equation
- Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II
- Spreading and vanishing in nonlinear diffusion problems with free boundaries
- Multidimensional nonlinear diffusion arising in population genetics
- Spreading and vanishing for nonlinear Stefan problems in high space dimensions
- Asymptotic behavior of solutions of reaction-diffusion equations with varying drift coefficients
- A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions. I: Classification of asymptotic behavior
- Spreading speed and profile for nonlinear Stefan problems in high space dimensions
- Spreading speed and sharp asymptotic profiles of solutions in free boundary problems for nonlinear advection-diffusion equations
- Regularity and asymptotic behavior of nonlinear Stefan problems
- Spreading and vanishing behaviors for radially symmetric solutions of free boundary problems for reaction-diffusion equations
- Asymptotic Profiles of Solutions and Propagating Terrace for a Free Boundary Problem of Nonlinear Diffusion Equation with Positive Bistable Nonlinearity
- Sharp Estimate of the Spreading Speed Determined by Nonlinear Free Boundary Problems
This page was built for publication: A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions. II: Asymptotic profiles of solutions and radial terrace solution
