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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.
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The space $L^p(\partial\Omega)$ in cited references
You can find a lot of references about this, some books treat it like folklore since in most applications for PDEs it is the case. But, you can go as far as you want into how relaxed can be the bounda …