mathmai
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you can check the pdf : http://ejde.math.txstate.edu/Volumes/2011/18/chen.pdf -Can we say that the boundary integral conditions= the nonlocal boundary condition?!! -When the generalized solution = the weak solution? -What's the norm of the sobolev space H^{-r} and how we can say u_{m}^{p-2}u_{m} \in L^{q}(0,T;H^{-r})(\omega))? -In all the lemma 4.4....4.7 they try to use the norm in H^{-r})(\omega) why?