Nonlocal Curvature Flows
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605515875 | ||
| 003 | CHVBK | ||
| 005 | 20210128100711.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0880-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0880-z | ||
| 245 | 0 | 0 | |a Nonlocal Curvature Flows |h [Elektronische Daten] |c [Antonin Chambolle, Massimiliano Morini, Marcello Ponsiglione] |
| 520 | 3 | |a This paper aims at building a unified framework to deal with a wide class of local and nonlocal translation-invariant geometric flows. We introduce a class of nonlocal generalized mean curvatures and prove the existence and uniqueness for the level set formulation of the corresponding geometric flows. We then introduce a class of generalized perimeters, whose first variation is an admissible generalized curvature. Within this class, we implement a minimizing movements scheme and we prove that it approximates the viscosity solution of the corresponding level set PDE. We also describe several examples and applications. Besides recovering and presenting in a unified way existence, uniqueness, and approximation results for several geometric motions already studied and scattered in the literature, the theory developed in this paper also allows us to establish new results. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Chambolle |D Antonin |u CMAP, Ecole Polytechnique, CNRS, Palaiseau, France |4 aut | |
| 700 | 1 | |a Morini |D Massimiliano |u Dip. di Matematica, Univ. Parma, Parma, Italy |4 aut | |
| 700 | 1 | |a Ponsiglione |D Marcello |u Dip. di Matematica, Univ. Roma-I "La Sapienza”, Rome, Italy |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/3(2015-12-01), 1263-1329 |x 0003-9527 |q 218:3<1263 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0880-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0880-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chambolle |D Antonin |u CMAP, Ecole Polytechnique, CNRS, Palaiseau, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Morini |D Massimiliano |u Dip. di Matematica, Univ. Parma, Parma, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ponsiglione |D Marcello |u Dip. di Matematica, Univ. Roma-I "La Sapienza”, Rome, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/3(2015-12-01), 1263-1329 |x 0003-9527 |q 218:3<1263 |1 2015 |2 218 |o 205 | ||