Eléments de théorie spectrale : le Laplacien sur un ouvert borné

Abstract : In these lecture notes in French, we give some basic notions of spectral theory of self-adjoint operators in infinite dimension, with a focus on the operators with compact resolvent. In particular, we study at length the Laplacian on a bounded domain and discuss several boundary conditions (Dirichlet, Neumann, Robin, periodic, Born-von Karman).
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Mathieu Lewin. Eléments de théorie spectrale : le Laplacien sur un ouvert borné. Master. France. 2017. ⟨cel-01490197v2⟩

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