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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

Question on expansion into Neumann eigenfunctions

The boundary has measure=0, and so there is no contradiction, because the convergence takes place in $L^2$ (or in $H^1$). The convergence is not pointwise. It is probably best to convince yourself of …
Alexandre's user avatar