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
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