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Fundamental solutions of second order elliptic linear partial differential operators with analytic coefficients and simple complex characteristics
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lukasiewicz, Serge |
| Copyright Year | 2017 |
| Abstract | We give an explicit formula for the fundamental solutions of an elliptic linear partial differential operator of the second order with analytic coefficients and simple complex characteristics in an open set Ω ⊂ Rn. We prove that those fundamental solutions can be continued at least locally as multi-valued analytic functions x −→ E(x, y) in Cn up to the complex bicharacteristic conoid. This extension ramifies along its singular set the bicharacteristic conoid and belongs to the Nilsson class. |
| Starting Page | 277 |
| Ending Page | 290 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| Volume Number | 38 |
| Alternate Webpage(s) | http://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2017(2)/277-290.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |