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ununhappy
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I'm a graduate interested in harmonic analysis & fluid PDE.

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question
5
How to prove the isometry $(L^p(S;X))^*=L^q(S;X^*)$ when $S$ is an atomic measure space?
May 6
question
4
How to prove $\{\int_A\phi d\mu:A\in\mathscr{A}\}$ is relatively compact in $X$ when $\phi\in L^1(S;X)$?
May 14
question
3
How to use cylinder set to generate $\sigma$-algebra generated by a subset of dual space?
Apr 28
question
2
Problem on proving $L^p_T(\dot{H}^{s+\frac{2}{p}})$ estimate of a heat flow
Oct 18, 2024
question
2
What's the intuition behind the construction of $X$ in Brezis' theorem 7.3
Nov 17, 2024
question
2
Problem on sign of velocity of Burgers vortex layer in Cartesian coordinates
Jan 13
question
2
Why can we extend maximal existing time of Navier-Stokes solution to infinity?
Jan 29
question
2
Question on controlling norm of output of a semidefinite operator by inner product
Nov 25
question
2
Setting of speed on the vortex sheet and its (possible) relation to the Rankine-Hugoniot condition
Dec 6
question
1
Scaling-invariant property of Navier-Stokes equation under Besov spaces
Nov 19, 2024