The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes (Q2466490)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes |
scientific article |
Statements
The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes (English)
0 references
15 January 2008
0 references
The author studies the existence of solutions with layers and spikes to the heterogeneous Allen-Cahn equation with Neumann boundary conditions in a ball. He describes the difficulties of the problem, the techniques used to overcome them, and proves the main result by the reduction method.
0 references
Allen-Cahn equation
0 references
layers
0 references
spikes
0 references
singular perturbation
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
