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Results tagged with linear-pde
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user 113756
Questions about linear partial differential equations. Often used in combination with the top-level tag ap.analysis-of-pdes.
19
votes
Accepted
Fundamental solution of an elliptic PDE in divergence form with non-symmetric matrix
This question requires an articulated answer, since the topic dealt is complex and ramified. A fundamental solution for a not necessarily divergence form $2$nd order elliptic system with $C^{2,h}$ coe …
- 6,367
3
votes
Generalized Fuchsian-type PDE
Non really an answer but a long comment with some (hopefully useful) suggestions. The equation you are studying seems tractable by using the method of multidimensional Mellin transform described by Sz …
- 6,367
7
votes
Accepted
Research topics in microlocal analysis
I can give a brief description of a (perhaps, currently the main) topic pertaining the application of microlocal analysis to the study of nonlinear PDEs, which seem the argument you are most intereste …
- 6,367
2
votes
Generalizing a formula with distributions — Distributional Radon transform
Edit. While my first answer was more a suggestion on how to proceed, I decided to expand it in full. I also changed the former notation at some point in order to make it clearer, while still retaining …
- 6,367
2
votes
General solution to an ultrahyperbolic PDE
This is not an answer to the main question as the one offered by Robert Bryant, but it is a comment to the statement pertaining the two-variable boundary value problem for the ultrahyperbolic equation …
- 6,367