On breakdown of solutions of a constrained gradient system of total variation - doi: 10.5269/bspm.v22i1.7491
Giga, Yoshikazu ; Kuroda, Hirotoshi
Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009), / Harvested from Portal de Periódicos da UEM
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A gradient system of total variation is considered for a mapping from the unit disk to the unit sphere in R3. For a class of initial data it is shown that a solution of its Dirichlet problem loses its smoothness in finite time.

Publié le : 2009-01-01
DOI : https://doi.org/10.5269/bspm.v22i1.7491 
@article{7491,
     title = {On breakdown of solutions of a constrained gradient system of total variation - doi: 10.5269/bspm.v22i1.7491},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {23},
     year = {2009},
     doi = {10.5269/bspm.v22i1.7491},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/7491}
}

Giga, Yoshikazu; Kuroda, Hirotoshi. On breakdown of solutions of a constrained gradient system of total variation - doi: 10.5269/bspm.v22i1.7491. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v22i1.7491. http://gdmltest.u-ga.fr/item/7491/