Existence of partially regular solutions for Landau-Lifshitz equations in R-3
We establish the existence of partially regular weak solutions for the Landau-Lifshitz equation in three space dimensions for smooth initial data of finite Dirichlet energy. The construction is based on Ginzburg-Landau approximation. The new key ingredient is a nonlocal representation formula for th...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2005
|