Rafa

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 1d answered Maximum of the solution of a parabolic PDE Dec18 comment A bound for a product in BMO Thank you for your answer. However, your answer only says that my approach is wrong. It doesn't say anything on the bound, right? Dec17 asked A bound for a product in BMO Oct7 answered weak solution of viscous Burgers equation with non-homogeneous Dirichlet boundary conditions Sep10 answered Blow up of solutions to parabolic PDEs Sep3 awarded Student May30 comment I have this linear PDE… Ooo, that's right, I agree May25 answered The logarithmic fast diffusion equation in one space variable with periodic boundary conditions. May24 awarded Scholar May24 awarded Editor May23 answered Solution formular for Laplace equation May21 comment Strong convergence in the Bochner space L^p([0,T],X) That is a great answer! Thank you May21 accepted Strong convergence in the Bochner space L^p([0,T],X) May19 revised Strong convergence in the Bochner space L^p([0,T],X) edited tags; edited title May18 comment Strong convergence in the Bochner space L^p([0,T],X) @Hao Yin, you can assume $x_n\in C([0,T],X_1)$. Thus, $x(t)$ will be measurable as well. May18 comment Strong convergence in the Bochner space L^p([0,T],X) I assume that $\|x_n(t)\|_{X_1}\leq M$ (M does not depend on $t$) for all positive times. Now fix $t$. Then, due to the boundedness, you can obtain $x_n(t)\rightarrow x(t)$ strongly in $X$. Of course, at this step, this convergence is pointwise a.e. $t$. Is it ok? May18 comment Strong convergence in the Bochner space L^p([0,T],X) Yes, you are right. I edited it properly. I don't know why the editor had problems with the sign '<'... May18 revised Strong convergence in the Bochner space L^p([0,T],X) added 4 characters in body; added 1 characters in body; added 9 characters in body; added 5 characters in body; added 3 characters in body May18 asked Strong convergence in the Bochner space L^p([0,T],X) May16 awarded Supporter