Regularity for some doubly nonlinear evolutionary equations in measure spaces

Description:  We will consider the regularity question for the nonnegative weak solutions of certain doubly nonlinear parabolic equations falling into a very large and important class of equations, namely the class of degenerate and singular equations. These type of evolutionary equations appear in the modeling of turbulent filtration of non-Newtonian fluids through a porous media. We will consider the equation $$\frac{\partial (u^{q})}{\partial t}-\div{(|\nabla u|^{p-2}\nabla u)}=0, 02.$$ We will show that the nonnegative weak solutions are locally H\"older continuous in measure spaces assuming only the measure to be a doubling non-trivial Borel measure supporting a Poincaré inequality. Date:  2013-02-01 Start Time:   14:30 Speaker:  Rojbin Laleoglu (CM, Univ. Trás-os-Montes e Alto Douro) Institution:  CM, Universidade de Trás-os-Montes e Alto Douro Place:  Sala 5.5 Research Groups: -Analysis See more:   <Main>

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