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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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https://hal.archives-ouvertes.fr/cel-01490197
Contributor : Mathieu Lewin <>
Submitted on : Tuesday, March 6, 2018 - 9:52:02 AM
Last modification on : Wednesday, February 19, 2020 - 8:59:06 AM
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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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