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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.
1
vote
Accepted
Heat equation with Neumann BC
yes, with some regularity on the boundary.
Theorem 3.2.9 p. 90 of E.B. Davies book, Heat Kernels and Spectral Theory
gives Gaussian bounds for the heat kernel of an elliptic operator with Neumann bo …