QUASILINEAR PARABOLIC EQUATIONS WITH NONLOCAL BOUNDARY COND
Posted: Tue Apr 17, 2012 5:20 pm
I want to ask about the articl: http://ejde.math.txstate.edu/Volumes/2011/18/chen.pdf
In the lamma4.4 and 4.5 and 4.6 the required convergence is strong but in the proof she indicate just the weak convergence so why?
what does it mean $L^q(0,T;\ H^{-r}(\Omega))$ or how can I read it mathematicaly?
In the lamma4.4 and 4.5 and 4.6 the required convergence is strong but in the proof she indicate just the weak convergence so why?
what does it mean $L^q(0,T;\ H^{-r}(\Omega))$ or how can I read it mathematicaly?