Existence of solutions to a global eikonal equation
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.
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | article |
| منشور في: |
2007
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/3435 http://dx.doi.org/10.1016/j.na.2006.05.013 https://www.sciencedirect.com/science/article/abs/pii/S0362546X06003191 |
| الوسوم: |
إضافة وسم
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| _version_ | 1864513461275328512 |
|---|---|
| author | Nour, C. |
| author_facet | Nour, C. |
| author_role | author |
| dc.creator.none.fl_str_mv | Nour, C. |
| dc.date.none.fl_str_mv | 2007 2016-03-30T07:19:30Z 2016-03-30T07:19:30Z 2016-03-30 |
| dc.identifier.none.fl_str_mv | 0362-546X http://hdl.handle.net/10725/3435 http://dx.doi.org/10.1016/j.na.2006.05.013 Nour, C. (2007). Existence of solutions to a global eikonal equation. Nonlinear Analysis: Theory, Methods & Applications, 67(2), 349-367. https://www.sciencedirect.com/science/article/abs/pii/S0362546X06003191 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Nonlinear Analysis: Theory, Methods & Applications |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Existence of solutions to a global eikonal equation |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_92c44ac2935c3bbcfaaa0ec3a13349b1 |
| identifier_str_mv | 0362-546X Nour, C. (2007). Existence of solutions to a global eikonal equation. Nonlinear Analysis: Theory, Methods & Applications, 67(2), 349-367. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/3435 |
| publishDate | 2007 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Existence of solutions to a global eikonal equationNour, C.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.PublishedN/A2016-03-30T07:19:30Z2016-03-30T07:19:30Z20072016-03-30Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0362-546Xhttp://hdl.handle.net/10725/3435http://dx.doi.org/10.1016/j.na.2006.05.013Nour, C. (2007). Existence of solutions to a global eikonal equation. Nonlinear Analysis: Theory, Methods & Applications, 67(2), 349-367.https://www.sciencedirect.com/science/article/abs/pii/S0362546X06003191enNonlinear Analysis: Theory, Methods & Applicationsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/34352021-11-09T14:01:21Z |
| spellingShingle | Existence of solutions to a global eikonal equation Nour, C. |
| status_str | publishedVersion |
| title | Existence of solutions to a global eikonal equation |
| title_full | Existence of solutions to a global eikonal equation |
| title_fullStr | Existence of solutions to a global eikonal equation |
| title_full_unstemmed | Existence of solutions to a global eikonal equation |
| title_short | Existence of solutions to a global eikonal equation |
| title_sort | Existence of solutions to a global eikonal equation |
| url | http://hdl.handle.net/10725/3435 http://dx.doi.org/10.1016/j.na.2006.05.013 https://www.sciencedirect.com/science/article/abs/pii/S0362546X06003191 |