6:17 AM
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If a sequence is $\{u_n\}$ bounded $L^\infty(0,T;H^2(\Omega))$, can I find a subsequence $\{u_{n_k}\}$ that converges in $L^p(0,T;H^1(\Omega))$ for some $p$? I don't think this is true, but I can't come up with a counterexample. Any hints? Also, what further assumptions can one add to make this s...
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