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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

The spectrum of the Hodge Laplacian on a Riemannian manifold

This is an old question but I guess I can contribute with some information about the computation of the eigenvalues. Actually, to compute explicitly the spectrum of Hodge-Laplacian turns out to be a R …
Luiz Henrique Lara dos Santos's user avatar