bio | website | |
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location | wuhan.china | |
age | ||
visits | member for | 1 year, 11 months |
seen | Jun 25 '13 at 0:52 | |
stats | profile views | 1,394 |
Jun 23 |
accepted | what's the idea behind Carleman estimate |
Jun 23 |
comment |
what's the idea behind Carleman estimate
Dear Alan, here $D=\frac{1}{i}\frac{d}{dx}$ |
May 6 |
comment |
integration by parts for the fractional Laplacian
$(-\Delta)^{s}$ is positive if and only if $0<s\les 1$, and they generates positive heat semigroup $e^{-t(-\Delta)^{s}}$. |
Apr 21 |
awarded | Yearling |
Apr 20 |
answered | Meromorphic Functions as Distributions |
Apr 15 |
revised |
Nonintegrable inverse powers as distributions
edited body |
Apr 15 |
revised |
Nonintegrable inverse powers as distributions
added 54 characters in body |
Apr 15 |
answered | Nonintegrable inverse powers as distributions |
Mar 19 |
accepted | Fourier transform and spectrum of PDOs in $L^p$ |
Jan 31 |
comment |
Is there a good way to estimate the Fourier transform of $\frac{1}{\lambda-iP(\xi)}$
Dear Anatoly Kochubei, I couldn't get it through the internet, neither in my school library. Would you show me what the detailed reslult is? Thanks very much. |
Jan 31 |
revised |
Is there a good way to estimate the Fourier transform of $\frac{1}{\lambda-iP(\xi)}$
added 266 characters in body; added 2 characters in body; edited body; deleted 2 characters in body; deleted 1 characters in body |
Jan 30 |
asked | Is there a good way to estimate the Fourier transform of $\frac{1}{\lambda-iP(\xi)}$ |
Jan 24 |
comment |
Why is symplectic geometry so important in modern PDE ?
@David: Thanks very much |
Jan 24 |
awarded | Popular Question |
Nov 23 |
comment |
T. Carleman's method on eigenvalues asymptotics
I found that C.Sogge's [Lectures on eigenfunctions][1] is also a wonderful reference [1]: mathnt.mat.jhu.edu/sogge/zju/0LecturesOnEigenfunctions.pdf |
Nov 23 |
comment |
Integral kernel for the resolvent of the laplace operator
If n equal to 1 or 3,then the inverse fourier transform of $(\xi^{2}-z)^{-1}$ is $c_{n}\frac{e^{-\sqrt{z}|x|}}{|x|}$,for other values of dimension,it can be an expression in terms of bessel functions. For instance,it can be found in stein's book "Singular Integrals and Differentiability Properties of Functions" |
Nov 14 |
comment |
Fourier transform of a particular function
Thanks very much for this useful result.I think I should ask how does $\hat{f}$ behave near zero rather than at $\infty$. |
Nov 13 |
revised |
Fourier transform of a particular function
added 28 characters in body |
Nov 13 |
comment |
Fourier transform of a particular function
@Alexandre Eremenko,I want to know how $\hat{f}(\xi)$ decay for large $\xi$,just as Renardy said,the problem is the slow decay of the functon $f$ at $\infty$ |
Nov 13 |
revised |
Fourier transform of a particular function
added 9 characters in body |