12:49
*Coloquio del Departamento de Matemática (FIQ-UNL)*
*Disertante*: Cornelia Schneider. Universidad de Erlangen-Núremberg
(Alemania)
*Lugar, fecha y hora*: Aula Leloir, Miércoles 26 de febrero, 14 hs.
*Título*: Sobolev and Besov regularity of parabolic PDEs
*Resumen*: The talk is concerned with the regularity of solutions to linear
and nonlinear evolution equations on nonsmooth domains. In particular, we
study the smoothness in a specific scale of Besov spaces. It is known that
in many cases the order of convergence of adaptive wavelet-schemes depends
on the regularity of the solution in these Besov spaces. On the other hand
it is the fractional Sobolev regularity which determines the rate of
convergence of non adaptive (uniform) algorithms. Therefore, in order to
justify the use of adaptive schemes for solving parabolic PDEs, an analysis
of the regularity of the solution in the scale of Besov spaces and a
comparison with its Sobolev regularity is needed. It turns out that for all
cases under consideration the Besov regularity is high enough to justify
the use of adaptive algorithms.
*Bio*: Cornelia Schneider realizó su doctorado en la Universidad de
Leipzig en 2009, y luego una estadía posdoctoral en Coimbra (Portugal).
Desde 2010 es profesora en la universidad de Erlangen-Núremberg. Sus
intereses de investigación son: Espacios funcionales, métodos adaptativos
para ecuaciones parabólicas y regularidad de ecuaciones en derivadas
parciales.
--
Gladis Pradolini
Departamento de Matemática - Facultad de Ingeniería Química (CONICET-UNL)
Santiago del Estero 2829
Santa Fe (3000)
Argentina