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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
Accepted
Non-Normal derivative boundary conditions for a PDE
Suppose for definiteness we work with Laplace's equation $\triangledown^{2}u =0$ on the
unit disk in $R^{2}$. Assuming things are somewhat smooth, suppose one specified the
tangential, instead of th …