Boundedness for some doubly nonlinear parabolic PDEs

Description:  We show that, in the setting of measure spaces equipped with a doubling non-trivial Borel measure $\mu$, of dimension $d_\mu$, supporting a weak Poincaré inequality, the nonnegative weak subsolutions of the doubly nonlinear equation $(u^{q})t-\div{(|\nabla u|^{p-2}\nabla u)}=0, 1<p<d\mu, q>0$ arising in the study of turbulent filtration of a gas or a liquid through porous media and in the study of non-Newtonian fluids, are locally bounded. Date:  2013-10-25 Start Time:   14:30 Speaker:  Eurica Henriques (CM/UTAD) Institution:  CM/UTAD Place:  Sala 5.5 Research Groups: -Analysis See more:   <Main>