| Author | dc.contributor.author | Cominetti Cotti-Cometti, Roberto | |
| Author | dc.contributor.author | Peypouquet, J. | es_CL |
| Author | dc.contributor.author | Sorin, S. | es_CL |
| Admission date | dc.date.accessioned | 2010-01-14T13:09:54Z | |
| Available date | dc.date.available | 2010-01-14T13:09:54Z | |
| Publication date | dc.date.issued | 2008-12-15 | |
| Cita de ítem | dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 245 Issue: 12 Pages: 3753-3763 Published: DEC 15 2008 | en_US |
| Identifier | dc.identifier.issn | 0022-0396 | |
| Identifier | dc.identifier.other | 10.1016/j.jde.2008.08.007 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125118 | |
| Abstract | dc.description.abstract | We consider the Tikhonov-like dynamics -(u) over dot(t) is an element of A(u(t)) + epsilon(t)u(t) where A is a maximal monotone operator on a Hilbert space and the parameter function epsilon(t) tends to 0 as t -> infinity with integral(infinity)(0)epsilon(t) dt = infinity. When A is the subdifferential of a closed proper convex function f, we establish strong convergence of u(t) towards the least-norm minimizer of f. In the general case we prove strong convergence towards the least-norm point in A(-1)(0) provided that the function epsilon(t) has bounded variation, and provide a counterexample when this property fails. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en_US |
| Keywords | dc.subject | PROXIMAL POINT ALGORITHM | en_US |
| Título | dc.title | Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization | en_US |
| Document type | dc.type | Artículo de revista | |
