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O problema de Cauchy para sistemas quase-lineares hiperbólicos é bem posto em espaços de Hölder
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 2012-08-10)
We consider the Cauchy problem for the quasi-linear systems
that is, the system is hyperbolic at u = 0. We show that certain Besov spaces are preserved by flow of the solution, near the null solution.
On space-time properties of solutions for nonlinear evolutionary equations with random initial dataOn space-time properties of solutions for nonlinear evolutionary equations with random initial data
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 1996)
Local solvability of elliptic equations of even order with Holder coefficients
(Unión Matemática Argentina, 2020-02)
We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free ...
Desigualdades de Harnack elíptica y parabólica: un enfoque abstracto
(1999-08-10)
Necessary and sufficient conditions are determined in order to obtain Holder regularity for a family of functions defined in a space of homogeneous type. Such conditions are obtained from the study of the validity of the ...
The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert kernel
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
ON THE LOCAL CONVERGENCE OF A TWO-STEP STEFFENSEN-TYPE METHOD FOR SOLVING GENERALIZED EQUATIONS
(Universidad Católica del Norte, Departamento de Matemáticas, 2008)
A note on space–time Hölder regularity of mild solutions to stochastic cauchy problems in Lp-spaces
This paper revisits the Hölder regularity of mild solutions of parabolic stochastic Cauchy problems in Lebesgue spaces Lp(O), with p ? 2 and O ? ?d a bounded domain. We find conditions on p,? and ? under which the mild ...