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pro vyhledávání: '"Rodrigues, Nicholas Braun"'
We obtain global analytic hypoellipticity for a class of differential operators that can be expressed as a zero-order perturbation of a sum of squares of vector fields with real-analytic coefficients on compact Lie groups. The key conditions are: the
Externí odkaz:
http://arxiv.org/abs/2404.01772
Autor:
Rodrigues, Nicholas Braun
We prove a smooth and Gevrey-$s$ microlocal hypoellipticity result for a system of complex vector fields associated with a real-analytic locally integrable structure of tube type, that is also microlocal hypocomplex. In order to so, we employ the use
Externí odkaz:
http://arxiv.org/abs/2311.14547
Autor:
Rodrigues, Nicholas Braun
Nesse trabalho estudamos as classes de Gevrey e as ultradistribuições em grupos de Lie compactos, que é a generalização natural do toro no contexto de análise de Fourier. Para tal utilizamos a teoria de vetores Gevrey. Fazemos a caracterizaçã
We prove the existence of approximate solutions in the (regular) Denjoy-Carleman sense for some systems of smooth complex vector fields. Such approximate solutions provide a well defined notion of Denjoy-Carleman wave front set of distributions on ma
Externí odkaz:
http://arxiv.org/abs/2207.12017
Autor:
Rodrigues, Nicholas Braun
In this work we prove an FBI characterization for Gevrey vectors on hypo-analytic structures, and we analyze the main differences of Gevrey regularity and hypo-analyticity concerning the FBI transform. We end with an application of this characterizat
Externí odkaz:
http://arxiv.org/abs/2006.04590
In this paper we study microlocal regularity of a $\mathcal{C}^2$ solution $u$ of the equation \begin{equation*} u_t = f(x,t,u,u_x), \end{equation*} where $f(x,t,\zeta_0, \zeta)$ is ultradifferentiable in the variables $(x,t)\in \mathbb{R}^{N} \times
Externí odkaz:
http://arxiv.org/abs/1809.06803
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