An Iff solvability condition for the oblique derivative problem
N. Lerner (1990-1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
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N. Lerner (1990-1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Nicolas Lerner (1987)
Journées équations aux dérivées partielles
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Nicolas Lerner (2000)
Annales de l'institut Fourier
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This paper begins with a broad survey of the state of the art in matters of solvability for differential and pseudo-differential equations. Then we proceed with a Hilbertian lemma which we use to prove a new solvability result.
Luigi Rodino (1986)
Journées équations aux dérivées partielles
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Rodino, Luigi, De Donno, Giuseppe (2000)
Rendiconti del Seminario Matematico
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R. Beals, C. Fefferman (1972-1973)
Séminaire Équations aux dérivées partielles (Polytechnique)
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A. Menikoff (1976-1977)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Nicolas Lerner (2005-2006)
Séminaire Bourbaki
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In a series of recent papers, Nils Dencker proves that condition implies the local solvability of principal type pseudodifferential operators (with loss of derivatives for all positive ), verifying the last part of the Nirenberg-Treves conjecture, formulated in 1971. The origin of this question goes back to the Hans Lewy counterexample, published in 1957. In this text, we follow the pattern of Dencker’s papers, and we provide a proof of local solvability with a loss of derivatives. ...