In this work we use bilinear estimates and point fix theorem to show that the solution to the initial value problem for the Korteweg-de Vries equation with analytic periodic initial data is analytic and periodic in the ...

The study of analytic germs of functions (Cn, 0) → (C, 0) under R - equivalence relation is a central point in Singularity Theory and the information we have in this direction is very rich. In this dissertation we ...

In this work we consider some nonlinear reaction-difusion equations with nonlinear Neumann boundary condition. The objective is to present conditions on the geometry of the domain, as well as on the reaction and diffusion ...

The aim of this work is construct the example, presented by Boju Jiang, of a self - map on a manifold with non - realizable Nielsen number. Firstly we will need to present the fixed point theory and some results about ...

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In this work we study a reaction-difusion problem with nonlinear Neumann boundary condition. The objective is to present suficient conditions on the diffusion coeficient so that the problem has an stable nonconstant ...

In this work we develop the transformation theory for isothermic surfaces in Euclidean space IR3 due to Darboux and Bianchi. As a consequence, we describe a method for constructing new solutions of the nonlinear system of ...

In this work, we present necessary and suficient conditions for that an operator of Calderón-Zygmund type can be extended to a bounded operator on L2. By using results of interpolation and cancellation conditions on the ...

In this work we study the problem of existence of non-constant stable equilibria to some parabolic systems. Specifically, the Ginzburg-Landau system, the Landau-Lifshitz system and systems with skew-gradient structure. In ...