Partial differential equations : Variational formulation

Variational formulation
Partial differential equations

Authors : Claude BARDOS, Thierry PAUL

Publication date: October 10, 2010 | Lire en français

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4. Variational formulation

In Ω bounded open of Rⁿ, consider the solution of the Dirichlet problem:

u - Δ u = f, f \in L^{2} (Ω), u = 0 sur \partial Ω .

This solution exists and is unique, if only because - Δ with...

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Ongoing reading
Variational formulation

(1) - ARNOL'D (V.) - Méthodes mathématiques de la mécanique classique - MIR, Moscou (1976).
(2) - ALINHAC (S.), GERARD (P.) - Opérateurs pseudo-différentiels et théorème de Nash-Moser - InterÉditions-CNRS, Paris (1991).
(3)...

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