Local solutions to Darboux problem with a discontinuous right-hand side
The existence of a local solution to the Darboux problem u<sub>xy</sub>(x,y)=g(u(x,y)), u(x,0)=u(0,y)=0, where g is Lebesgue measurable and has at most polynomial growth, is proved.
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2008-12-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.11.4.755 |
| _version_ | 1819134119718682624 |
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| author | P.Pikuta |
| author_facet | P.Pikuta |
| author_sort | P.Pikuta |
| collection | DOAJ |
| description | The existence of a local solution to the Darboux problem u<sub>xy</sub>(x,y)=g(u(x,y)), u(x,0)=u(0,y)=0, where g is Lebesgue measurable and has at most polynomial growth, is proved. |
| first_indexed | 2024-12-22T09:58:08Z |
| format | Article |
| id | doaj.art-8ae29e2950f445cf837e40c313f14efa |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-22T09:58:08Z |
| publishDate | 2008-12-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-8ae29e2950f445cf837e40c313f14efa2022-12-21T18:30:13ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2008-12-01114755Local solutions to Darboux problem with a discontinuous right-hand sideP.PikutaThe existence of a local solution to the Darboux problem u<sub>xy</sub>(x,y)=g(u(x,y)), u(x,0)=u(0,y)=0, where g is Lebesgue measurable and has at most polynomial growth, is proved.http://dx.doi.org/10.5488/CMP.11.4.755Darboux problemdiscontinuous differential equations |
| spellingShingle | P.Pikuta Local solutions to Darboux problem with a discontinuous right-hand side Condensed Matter Physics Darboux problem discontinuous differential equations |
| title | Local solutions to Darboux problem with a discontinuous right-hand side |
| title_full | Local solutions to Darboux problem with a discontinuous right-hand side |
| title_fullStr | Local solutions to Darboux problem with a discontinuous right-hand side |
| title_full_unstemmed | Local solutions to Darboux problem with a discontinuous right-hand side |
| title_short | Local solutions to Darboux problem with a discontinuous right-hand side |
| title_sort | local solutions to darboux problem with a discontinuous right hand side |
| topic | Darboux problem discontinuous differential equations |
| url | http://dx.doi.org/10.5488/CMP.11.4.755 |
| work_keys_str_mv | AT ppikuta localsolutionstodarbouxproblemwithadiscontinuousrighthandside |