bio  website  math.vt.edu/people/renardym 

location  Blacksburg, VA  
age  59  
visits  member for  3 years, 5 months 
seen  10 hours ago  
stats  profile views  2,565 
16h

reviewed  Approve suggested edit on Petersson product of newforms to different level 
19h

comment 
Does there exist a base $\{e_j\}_{j\geq 1}$ of $H(\Omega)$ such that $\{e_j\}_{j\geq 1}$ is linearly independent in $L^2(\omega)^d$?
You can use the Stokes operator with slip conditions instead. 
2d

comment 
Does there exist a base $\{e_j\}_{j\geq 1}$ of $H(\Omega)$ such that $\{e_j\}_{j\geq 1}$ is linearly independent in $L^2(\omega)^d$?
Take the eigenfunctions of the Stokes operator. They are analytic in $\Omega$, so if any linear combination vanishes in $\omega$, then it also vanishes in $\Omega$. 
Apr 18 
reviewed  Approve suggested edit on Projective modules over noncommutative tori? 
Apr 7 
comment 
Is any derivative of $f_1^x f_0^{1x}$ w.r.t. $x$ integrable?
For any x in the strip, $f_1^xf_0^{1x}$ is integrable. Now express the derivatives as contour integrals of the function using Cauchy's formula. 
Apr 7 
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on high order Laplacian
You may start with a literature search under the keyword "fractional diffusion." 
Apr 7 
answered  Is any derivative of $f_1^x f_0^{1x}$ w.r.t. $x$ integrable? 
Mar 29 
answered  Find sufficient and necessary conditions on $f$ in which the level curve $f(x,y)=0$ implies only one case $x=a$ for all real $y$ 
Mar 29 
awarded  ca.analysisandodes 
Mar 28 
answered  How to integrate an exponential function of an exponential function? 
Mar 27 
comment 
Teaching profession:Differential Equations and Mean Value Theorems
You do not mention where you are teaching this course. If you are talking about an average university in the US, I wish you luck. You will need it. 
Mar 26 
reviewed  Reject suggested edit on Which Lie groups have adjoint representations that are bounded away from zero? 
Mar 24 
comment 
Implementing boundary conditions to an ODE (involving elliptic integrals)
You can have a solution with a singularity at x=0 only if a=k or a=k. 
Mar 24 
comment 
Periodic solution of first order ODE
What do numerical calculations suggest? If you have not done those, I suggest you put this question on hold until you have. 
Mar 19 
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how to solve this system of nonlinear differential equations
The separate discussion of this special case is, as we usually say, left as an exercise to the reader. 
Mar 19 
answered  how to solve this system of nonlinear differential equations 
Mar 12 
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Question on centerstable manifold
I think $\gamma^+(x)$ is the forward orbit through $x$ and $\omega(x)$ is the $\omega$limit set of that orbit. 
Mar 6 
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Simultaneous Orthogonal basis for $L^2(\mathbb{R}^n)$ and $H^1(\mathbb{R}^n)$
However, if we are content with orthogonality with respect to an equivalent inner product in one of the spaces, then it can be done. For a lot of purposes, this might be enough. 
Feb 26 
answered  Fractional laplacian of radially symmetric functions 
Feb 23 
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Reference for invariance of essential spectrum under relatively compact perturbations
This site should not become a shortcut to substitute for literature searches. Voting to close. 