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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.

3 votes
0 answers
177 views

Laplace equation in a domain with a hole

I want to know if there is some reference on the well-posedness of the following problem : For $\Omega$ a bounded domain (what results depending on the regularity of the domain?) of $\mathbb{R}^2$ ( …
Matthew Binet's user avatar