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Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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votes
BVPs for elliptic PDOs: When do Green functions ($L^2$ inverses) define pseudo-differential ...
The book by Melrose was almost exactly written to address issues like the ones you mentioned above, where the very first example is the one in the question. The construction fo the parametrix is the f …