| dc.contributor.author |
Nour, C. |
|
| dc.date.accessioned |
2016-03-30T07:19:30Z |
|
| dc.date.available |
2016-03-30T07:19:30Z |
|
| dc.date.copyright |
2007 |
|
| dc.date.issued |
2016-03-30 |
|
| dc.identifier.issn |
0362-546X |
en_US |
| dc.identifier.uri |
http://hdl.handle.net/10725/3435 |
|
| dc.description.abstract |
We derive a geometric necessary and sufficient condition for the existence of solutions to a global eikonal equation. We also study the existence of a minimal solution to this equation, and its relation with the well-known minimal time function. |
en_US |
| dc.language.iso |
en |
en_US |
| dc.title |
Existence of solutions to a global eikonal equation |
en_US |
| dc.type |
Article |
en_US |
| dc.description.version |
Published |
en_US |
| dc.author.school |
SAS |
en_US |
| dc.author.idnumber |
200502681 |
en_US |
| dc.author.woa |
N/A |
en_US |
| dc.author.department |
Computer Science and Mathematics |
en_US |
| dc.description.embargo |
N/A |
en_US |
| dc.relation.journal |
Nonlinear Analysis: Theory, Methods & Applications |
en_US |
| dc.journal.volume |
67 |
en_US |
| dc.journal.issue |
2 |
en_US |
| dc.article.pages |
349-367 |
en_US |
| dc.keywords |
Eikonal equations |
en_US |
| dc.keywords |
Hamilton–Jacobi equations |
en_US |
| dc.keywords |
Proximal and viscosity solutions |
en_US |
| dc.keywords |
Gauge function |
en_US |
| dc.keywords |
Minimal time function |
en_US |
| dc.keywords |
Minimal trajectories |
en_US |
| dc.identifier.doi |
http://dx.doi.org/10.1016/j.na.2006.05.013 |
en_US |
| dc.identifier.ctation |
Nour, C. (2007). Existence of solutions to a global eikonal equation. Nonlinear Analysis: Theory, Methods & Applications, 67(2), 349-367. |
en_US |
| dc.author.email |
chadi.nour@lau.edu.lb |
|
| dc.identifier.url |
https://www.sciencedirect.com/science/article/abs/pii/S0362546X06003191 |
|
| dc.orcid.id |
https://orcid.org/0000-0003-4378-7459 |
en_US |
| dc.author.affiliation |
Lebanese American University |
en_US |