bio | website | math.vt.edu/people/renardym |
---|---|---|
location | Blacksburg, VA | |
age | 60 | |
visits | member for | 4 years, 7 months |
seen | 20 hours ago | |
stats | profile views | 3,177 |
Jun 23 |
answered | Convergence of sequence of polynomials defined by boundary conditions |
Jun 19 |
comment |
Infinitesimal generator is bounded
A much more serious flaw in your reasoning is that you are overlooking the fact that $t$ is in the denominator and $t\to 0$. |
Jun 17 |
comment |
Is $f(x,y)=\sum_{n\in\mathbb{Z}\backslash\{0\}}\frac{1}{n}e^{2\pi i(xn+yn^2)}$ essentially bounded?
No. Set y=0. You can do the sum explicitly in that case. |
Jun 16 |
reviewed | Edit for which values of $\theta$ does this equation $x_{n+1}=\cos(\theta)x^2_{n}-\sin(\theta)x^2_{n-1}$ have bounded solutions? |
Jun 16 |
revised |
for which values of $\theta$ does this equation $x_{n+1}=\cos(\theta)x^2_{n}-\sin(\theta)x^2_{n-1}$ have bounded solutions?
The body text of the problem was so unregular. |
Jun 16 |
comment |
[This might be a easy question]: A possible trace (inequality) defined under negative Sobolev scale
The problem is that if you pick $f\in H_0^{s+2}$, then $\partial f/\partial\nu$ will be zero on the boundary. |
May 29 |
awarded | Good Answer |
May 26 |
comment |
Existence of Solution steady navier stokes with do nothing outflow condition
First of all, the free boundary condition should be $pn-\nu(\nabla u+(\nabla u)^T)n=0$. Second, what kind of existence results are you looking for? For small data, standard methods work. For large data, there is not much hope if there are free surfaces, as demonstrated by phenomena such as wave breaking, jet breakup etc. |
May 21 |
comment |
Derivatives of radial functions can be bounded by derivatives in terms of radial distance?
This example does not quite seem to work. Does not $d^2f/dr^2$ get large when you actually do the modification near 0? |
May 20 |
answered | Interpolation between weighted $L^p$ spaces |
May 13 |
reviewed | Approve Loop space of manifold |
May 10 |
comment |
Mixed (anisotropic) Sobolev spaces
The correct inference is that $f\in H^s(L^2)\cap L^2(H^s)$. You should look at the equivalent statement for Fourier transforms. |
May 10 |
answered | Mixed (anisotropic) Sobolev spaces |
May 4 |
reviewed | Approve oa.operator-algebras tag wiki excerpt |
May 4 |
reviewed | Approve riemannian-geometry tag wiki |
May 4 |
awarded | Good Answer |
May 4 |
reviewed | Approve hilbert-manifolds tag wiki excerpt |
May 4 |
reviewed | Approve cauchy-schwarz-inequality tag wiki excerpt |
May 4 |
reviewed | Approve Singular projective variety where the Cartan homomorphism is not an isomorphism? |
May 1 |
answered | Fractional Sobolev spaces and interpolation in unbounded Lipschitz domains |