On breakdown of solutions of a constrained gradient system of total variation - doi: 10.5269/bspm.v22i1.7491

Yoshikazu Giga; Hirotoshi Kuroda

doi:10.5269/bspm.v22i1.7491

On breakdown of solutions of a constrained gradient system of total variation - doi: 10.5269/bspm.v22i1.7491

Authors

Yoshikazu Giga University of Tokyo
Hirotoshi Kuroda Hokkaido University

DOI:

https://doi.org/10.5269/bspm.v22i1.7491

Keywords:

total variation, breakdown, constrained gradient system, 1-harmonic flow

Abstract

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.

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Issue

Vol. 22 No. 1 (2004)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

How to Cite

Giga, Y., & Kuroda, H. (2009). On breakdown of solutions of a constrained gradient system of total variation - doi: 10.5269/bspm.v22i1.7491. Boletim Da Sociedade Paranaense De Matemática, 22(1), 9-20. https://doi.org/10.5269/bspm.v22i1.7491