Quasilinear equation

[mathmai]

http://ejde.math.txstate.edu/Volumes/2011/18/chen.pdf

in this article I have some idea you can call it basic ideas I can't get it please help me!


what's the differences between generalized solution and week solution?
what's the differences between nonlocal boundary conditions and local boundary conditions?
what's the differences between $L^q(0,T;\ H^{-r}(\Omega))$ and $L^q(0,T)$? and how we spel the 1st one

I want to know how the absolute value (1.1) make the problem change (what will happen if we delete the absolut value)?

[Lostounet]

En français ^^

Could you please rephrase in French? Thread locked.