Hypoellipticity
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Hipoelipticidade global de campos vetoriais no toro TN
Neste trabalho, veremos que se o operador transposto de um campo vetorial real suave L definido no toro N-dimensional, visto como um operador diferencial linear com coeficientes em C1(TN), for globalmente hipoelíptico, então existe um campo vetorial com coeficientes constantes L0 tal que L e L0 são C1- conjugados, com tais constantes satisfazendo uma cond
Publicado em: 2010
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2. Local analytic hypoellipticity for □b on nondegenerate Cauchy—Riemann manifolds
The local real analytic regularity of solutions to □b, the complex boundary Laplacian, and related operators is proved for (p,q) forms on a nondegenerate, abstract, real analytic Cauchy-Riemann (C-R) manifold of dimension 2n - 1 satisfying J. J. Kohn's condition Y(q). The problem is reduced to the study of general, “variable coefficient” operators, sat
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3. Extendability of proper holomorphic mappings and global analytic hypoellipticity of the ∂̄-Neumann problem
In this communication, the proof of the following theorem is sketched: If D1 is a bounded domain in Cn with real analytic boundary whose ∂̄-Neumann problem is globally real analytic hypoelliptic and f is a proper holomorphic mapping of D1 onto a second bounded domain D2 in Cn with real analytic boundary, then the mapping f extends to be holomorphic in a n