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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

4 votes
1 answer
243 views

Are renormalizability and the criticality of a PDE synonymous?

In the physics literature a quantum field theory is qualitatively classified as renormalizable, super-renormalizable, or non-renormalizable. This heuristic is based on how many Feynman diagrams conve …
CBBAM's user avatar
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8 votes
0 answers
160 views

Understanding spaces of negative regularity

I apologize if this question is too basic for this site, but I posted it on mathSE and did not get any responses (link can be found here) so I'm crossposting it here. Let $C^k(\mathbb{R}^n$) be the sp …
CBBAM's user avatar
  • 721
2 votes
1 answer
576 views

Reference request: inverse of differential operators

I have asked a similar question on MSE but I did not receive any replies, so I am reposting here in case it is more appropriate (though I have slightly generalized the question). As an example conside …
CBBAM's user avatar
  • 721