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A history of Cordes condition for second order elliptic operators. (English) Zbl 0819.35029

Lions, Jacques-Louis (ed.) et al., Boundary value problems for partial differential equations and applications. Dedicated to Enrico Magenes on the occasion of his 70th birthday. Paris: Masson. Res. Notes Appl. Math. 29, 319-325 (1993).
The author studies the unique solvability of the problem \(a(x, D_{ij} u)=f\in L^ 2 (\Omega)\) in \(H^ 2 (\Omega)\cap H^ 1_ 0 (\Omega)\) under different conditions on \(a\).
For the entire collection see [Zbl 0782.00097].

MSC:

35J15 Second-order elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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