TY - JOUR AU - Díaz Díaz, Jesús Ildefonso AU - Andreu, F. AU - Caselles, V. AU - Mazón, J.M. PY - 2002 DO - 10.1006/jfan.2001.3829 SN - 0022-1236 UR - https://hdl.handle.net/20.500.14352/57328 T2 - Journal of Functional Analysis AB - We prove the existence of a finite extinction time for the solutions of the Dirichlet problem for the total variation flow. For the Neumann problem, we prove that the solutions reach the average of its initial datum in finite time. The asymptotic... LA - eng M2 - 516 PB - Elsevier KW - parabolic equations KW - support KW - spaces KW - total variation flow KW - nonlinear parabolic equations KW - asymptotic behaviour KW - eigenvalue type problem KW - propagation of the support TI - Some qualitative properties for the total variation flow TY - journal article VL - 188 ER -