Sufficiency of condition (Ψ) for local solvability in two dimensions
@article{Lerner1988SufficiencyOC, title={Sufficiency of condition ($\Psi$) for local solvability in two dimensions}, author={Nicolas Lerner}, journal={Annals of Mathematics}, year={1988}, volume={128}, pages={243-258} }
On etablit l'existence de solutions locales de l'equation Pu=f ou P est un operateur pseudodifferentiel classique a 2 dimensions de type principal, d'ordre m qui satisfait la condition (Ψ): la partie imaginaire p 2 du symbole principal de P ne change pas de signe de − a + le long d'une bicaracteristique orientee de la partie reelle p 1 du symbole principal
35 Citations
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11)) we obtain the lemma for Re^^a^ + Ci)) and we can neglect the term C\ by using the large constant 6^1 in (2.20). The proof is complete