On the regularity of weak solutions to refractor problem
In this note we derive the Monge-Ampere type equation in Euclidian coordinates describing the refraction phenomena of perfect lens. This simplies the regularity issues of the weak solutions on the problem.
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| Format: | Article |
| Language: | English |
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Republic of Armenia National Academy of Sciences
2009-02-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://test.armjmath.sci.am/index.php/ajm/article/view/50 |
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doaj-348cb54f8b714ef4b8699bc892056f082020-11-24T21:58:53ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632009-02-0121On the regularity of weak solutions to refractor problemAram Karakhanyan0Department of Mathematics, University of Texas at Austin 1 University Station C1200, Austin TX 78712-0257 In this note we derive the Monge-Ampere type equation in Euclidian coordinates describing the refraction phenomena of perfect lens. This simplies the regularity issues of the weak solutions on the problem. http://test.armjmath.sci.am/index.php/ajm/article/view/50 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aram Karakhanyan |
| spellingShingle |
Aram Karakhanyan On the regularity of weak solutions to refractor problem Armenian Journal of Mathematics |
| author_facet |
Aram Karakhanyan |
| author_sort |
Aram Karakhanyan |
| title |
On the regularity of weak solutions to refractor problem |
| title_short |
On the regularity of weak solutions to refractor problem |
| title_full |
On the regularity of weak solutions to refractor problem |
| title_fullStr |
On the regularity of weak solutions to refractor problem |
| title_full_unstemmed |
On the regularity of weak solutions to refractor problem |
| title_sort |
on the regularity of weak solutions to refractor problem |
| publisher |
Republic of Armenia National Academy of Sciences |
| series |
Armenian Journal of Mathematics |
| issn |
1829-1163 |
| publishDate |
2009-02-01 |
| description |
In this note we derive the Monge-Ampere type equation in Euclidian coordinates describing the refraction phenomena of perfect lens. This simplies the regularity issues of the weak solutions on the problem.
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| url |
http://test.armjmath.sci.am/index.php/ajm/article/view/50 |
| work_keys_str_mv |
AT aramkarakhanyan ontheregularityofweaksolutionstorefractorproblem |
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1725850338903195648 |