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

Yoshikazu Giga; Hirotoshi Kuroda

doi:10.5269/bspm.v22i1.7491

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

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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Vol 22 No 1 (2004)

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