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

Autores/as

  • Yoshikazu Giga University of Tokyo
  • Hirotoshi Kuroda Hokkaido University

DOI:

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

Palabras clave:

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

Resumen

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.

Descargas

Número

Sección

Research Articles