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Caracterização da continuidade de operatores do tipo Calderón-Zygmund fortemente singular em espaços de Hardy
(Universidade Federal de São Carlos, 2023-04-04)
In this thesis, we characterize the continuity of strongly singular Calderón-Zygmund operators of type $\sigma$ in Hardy spaces, weighted Hardy spaces and Hardy-Morrey spaces in the spirit of (Coifman and Meyer, 1977). In ...
Soluções estacionárias positivas de equações de primeira ordem com termo de Kirchhoff e falta de coercitividade
(Universidade Federal de São Carlos, 2023-05-10)
In this work, we investigate the existence of positive stationary solutions of the Kirchhoff equations in a limited domain, an inhomogeneous spatial coefficient and a function of first order terms with growth up to the ...
Multiplicação de distribuições no estudo de soluções de ondas delta choque
(Universidade Federal de São Carlos, 2023-12-15)
In this work, we will find the delta shock wave solution for three Riemann problem where two are hyperbolic systems of conservation laws with linear damping and a three-component nonlinear chromatography model. We will ...
Existência de pullback atrator exponencial para uma família de problemas dominados por uma perturbação do p(x)-Laplaciano com difusão grande localizada, via método das l-trajetórias
(Universidade Federal de São Carlos, 2020-12-22)
In this work, we use the method of l-trajectories to prove the existence of a family of exponential attractors for autonomous nonlinear reaction-diffusion equations, involving the p(x)-Laplacian with large localized ...
The period function for some planar piecewise vector fields
(Universidade Federal de São Carlos, 2023-04-27)
In this work, we study the period function for fixed families of piecewise differential vector fields with a line of discontinuities. These systems, indistinctly called piecewise or nonsmooth, appear in several applications, ...