Y.Z

Shanghai, China

Age: 24

First year graduate student in PDE.

2h
comment Linear Fractional Transforms maps the upper half unit disc onto the first quadrant
@LeeMosher:I think there are two such LFTs, $T(z)=k(1+z)/(1-z),k>0$ and $T(z)=ih(1-z)/(1+z),h>0$. If you wanna me choose one, I wanna say: Both. :)
3h
asked Linear Fractional Transforms maps the upper half unit disc onto the first quadrant
1d
accepted Continuous piecewise smooth function $=$ a globally $\mathcal{C}^1$ function $+\sum a_i|s-\alpha_i|$?
Apr
15
answered Continuous piecewise smooth function $=$ a globally $\mathcal{C}^1$ function $+\sum a_i|s-\alpha_i|$?
Apr
15
awarded Informed
Apr
14
asked Continuous piecewise smooth function $=$ a globally $\mathcal{C}^1$ function $+\sum a_i|s-\alpha_i|$?
Apr
14
accepted An inequality of J. Necas
Nov
10
revised Does $\left|\left(\int_{\Omega}u^p\right)^{1/p}-\left(\int_{\Omega}v^p\right)^{1/p}\right|\leq C\left(\int_{\Omega}|u-v|^p\right)^{1/p}$ hold?
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Nov
10
comment Does $\left|\left(\int_{\Omega}u^p\right)^{1/p}-\left(\int_{\Omega}v^p\right)^{1/p}\right|\leq C\left(\int_{\Omega}|u-v|^p\right)^{1/p}$ hold?
@DanielFischer:You're right!In fact, I just need the case when $p=3$. I've changed the assumption of $p$.
Nov
10
comment Does $\left|\left(\int_{\Omega}u^p\right)^{1/p}-\left(\int_{\Omega}v^p\right)^{1/p}\right|\leq C\left(\int_{\Omega}|u-v|^p\right)^{1/p}$ hold?
@DanielFischer:But what if $u,v$ change signs?
Nov
10
revised Does $\left|\left(\int_{\Omega}u^p\right)^{1/p}-\left(\int_{\Omega}v^p\right)^{1/p}\right|\leq C\left(\int_{\Omega}|u-v|^p\right)^{1/p}$ hold?
added 55 characters in body
Nov
10
comment Does $\left|\left(\int_{\Omega}u^p\right)^{1/p}-\left(\int_{\Omega}v^p\right)^{1/p}\right|\leq C\left(\int_{\Omega}|u-v|^p\right)^{1/p}$ hold?
@DanielFischer: Yes,thanks.
Nov
10
asked Does $\left|\left(\int_{\Omega}u^p\right)^{1/p}-\left(\int_{\Omega}v^p\right)^{1/p}\right|\leq C\left(\int_{\Omega}|u-v|^p\right)^{1/p}$ hold?
Nov
8
awarded Yearling
Nov
8
awarded Yearling
Oct
17
accepted About the trace of Sobolev functions
Oct
16
revised About the trace of Sobolev functions
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Oct
16
comment About the trace of Sobolev functions
@Jose27:Sorry,$W^{1-1/p,p}(\partial\Omega)$ is defined as the image of $W^{1,p}(\Omega)$.
Oct
16
comment About the trace of Sobolev functions
@Jose27:Thanks, I added this in my question.
Oct
16
revised About the trace of Sobolev functions
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