On breakdown of solutions of a constrained gradient system of total variation
A gradient system of total variation is considered for a mapping fromthe unit disk to the unit sphere in R^3. For a class of initial data it is shown that a solution of its Dirichlet problem loses its smoothness in finite time.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2004-07-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7491/4310 |