Obstacle Problems and Maximal Operators
Fix two differential operators L1 and L2, and define a sequence of functions inductively by considering u1 as the solution to the Dirichlet problem for an operator L1 and then un as the solution to the obstacle problem for an operator Li ( i=1,2${i=1,2}$ alternating them) with obstacle given by the...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15361365_v16_n2_p355_Blanc |
| Aporte de: |
| id |
todo:paper_15361365_v16_n2_p355_Blanc |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_15361365_v16_n2_p355_Blanc2023-10-03T16:21:47Z Obstacle Problems and Maximal Operators Blanc, P. Pinasco, J.P. Rossi, J.D. Dirichlet Boundary Conditions Maximal Operators Obstacle Problems Fix two differential operators L1 and L2, and define a sequence of functions inductively by considering u1 as the solution to the Dirichlet problem for an operator L1 and then un as the solution to the obstacle problem for an operator Li ( i=1,2${i=1,2}$ alternating them) with obstacle given by the previous term un-1 in a domain Ω and a fixed boundary datum g on Ω${\\partial \\Omega }$ . We show that in this way we obtain an increasing sequence that converges uniformly to a viscosity solution to the minimal operator associated with L1 and L2, that is, the limit u verifies min{L 1 u,L 2 u}=0${\\min \\lbrace L-1 u, L-2 u \\rbrace =0}$ in Ω with u=g${u=g}$ on Ω${\\partial \\Omega }$ . © 2016 by De Gruyter. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15361365_v16_n2_p355_Blanc |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Dirichlet Boundary Conditions Maximal Operators Obstacle Problems |
| spellingShingle |
Dirichlet Boundary Conditions Maximal Operators Obstacle Problems Blanc, P. Pinasco, J.P. Rossi, J.D. Obstacle Problems and Maximal Operators |
| topic_facet |
Dirichlet Boundary Conditions Maximal Operators Obstacle Problems |
| description |
Fix two differential operators L1 and L2, and define a sequence of functions inductively by considering u1 as the solution to the Dirichlet problem for an operator L1 and then un as the solution to the obstacle problem for an operator Li ( i=1,2${i=1,2}$ alternating them) with obstacle given by the previous term un-1 in a domain Ω and a fixed boundary datum g on Ω${\\partial \\Omega }$ . We show that in this way we obtain an increasing sequence that converges uniformly to a viscosity solution to the minimal operator associated with L1 and L2, that is, the limit u verifies min{L 1 u,L 2 u}=0${\\min \\lbrace L-1 u, L-2 u \\rbrace =0}$ in Ω with u=g${u=g}$ on Ω${\\partial \\Omega }$ . © 2016 by De Gruyter. |
| format |
JOUR |
| author |
Blanc, P. Pinasco, J.P. Rossi, J.D. |
| author_facet |
Blanc, P. Pinasco, J.P. Rossi, J.D. |
| author_sort |
Blanc, P. |
| title |
Obstacle Problems and Maximal Operators |
| title_short |
Obstacle Problems and Maximal Operators |
| title_full |
Obstacle Problems and Maximal Operators |
| title_fullStr |
Obstacle Problems and Maximal Operators |
| title_full_unstemmed |
Obstacle Problems and Maximal Operators |
| title_sort |
obstacle problems and maximal operators |
| url |
http://hdl.handle.net/20.500.12110/paper_15361365_v16_n2_p355_Blanc |
| work_keys_str_mv |
AT blancp obstacleproblemsandmaximaloperators AT pinascojp obstacleproblemsandmaximaloperators AT rossijd obstacleproblemsandmaximaloperators |
| _version_ |
1782023891378503680 |