Has experience in Mathematics, focusing on Mathematics (Source: Lattes Curriculum)
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This project deals with the global solvability and global hypoellipticity of operators given by tube-type structures defined on product manifolds of the form MxG, where M is a smooth compact manifold and G is a compact Lie group. This project also forecast the approach of this subject both in the context of functions of class C^\infty, and in the context of ultradifferentiable functions (…
We will deal with local solvability of classes of linear partial differential operators. More precisely, we will deal with solvability of classes of first order differential equations in context of differential forms. Let \Omega=A(z)dz+B(z)d\bar{z} be a smooth differential 1-form defined in a neighborhood of the origin in \mathbb{R}^2. We say that \Omega is rotationally invariant if \Om…
Let M be a surface and let P be a constant coefficient first order linear partial differential operator defined on M. This work deals with the study of the following problem: Let K be a compact subset of M. Given a smooth function f finding u smooth solution to Pu=f in some open neighborhood of K.
Systems of vector fields arise as a local basis of an involutive sub-bundle $\mathcal{V}$ of the complexified tangentbundle $\mathbb{C}T\mathcal{M}$. Examples of involutive structures $(\mathcal{M},\mathcal{V})$ include foliations, complex structures, and CR structures.In this project we will investigate global properties of involutive structures defined on a smooth manifold $M$. Many res…
| 3 / 3 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 4 / 4 | All Scholarships |
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