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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2004-07-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7491/4310 |
| id |
doaj-4aba41d842734866b8893d7ddb15e07e |
|---|---|
| record_format |
Article |
| spelling |
doaj-4aba41d842734866b8893d7ddb15e07e2020-11-25T00:59:31ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882004-07-01221920On breakdown of solutions of a constrained gradient system of total variationHirotoshi KurodaYoshikazu GigaA 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.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7491/4310total variationbreakdownconstrained gradient system1-harmonic flow. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hirotoshi Kuroda Yoshikazu Giga |
| spellingShingle |
Hirotoshi Kuroda Yoshikazu Giga On breakdown of solutions of a constrained gradient system of total variation Boletim da Sociedade Paranaense de Matemática total variation breakdown constrained gradient system 1-harmonic flow. |
| author_facet |
Hirotoshi Kuroda Yoshikazu Giga |
| author_sort |
Hirotoshi Kuroda |
| title |
On breakdown of solutions of a constrained gradient system of total variation |
| title_short |
On breakdown of solutions of a constrained gradient system of total variation |
| title_full |
On breakdown of solutions of a constrained gradient system of total variation |
| title_fullStr |
On breakdown of solutions of a constrained gradient system of total variation |
| title_full_unstemmed |
On breakdown of solutions of a constrained gradient system of total variation |
| title_sort |
on breakdown of solutions of a constrained gradient system of total variation |
| publisher |
Sociedade Brasileira de Matemática |
| series |
Boletim da Sociedade Paranaense de Matemática |
| issn |
0037-8712 2175-1188 |
| publishDate |
2004-07-01 |
| description |
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. |
| topic |
total variation breakdown constrained gradient system 1-harmonic flow. |
| url |
http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7491/4310 |
| work_keys_str_mv |
AT hirotoshikuroda onbreakdownofsolutionsofaconstrainedgradientsystemoftotalvariation AT yoshikazugiga onbreakdownofsolutionsofaconstrainedgradientsystemoftotalvariation |
| _version_ |
1725217862206881792 |