bio | website | math.vt.edu/people/renardym |
---|---|---|
location | Blacksburg, VA | |
age | 60 | |
visits | member for | 4 years, 6 months |
seen | 1 hour ago | |
stats | profile views | 3,131 |
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 20 |
reviewed | Approve Formulating conditional constraints in optimization |
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 |
May 1 |
answered | Is the residual spectrum of every power bounded operator contained in the open unit disk? |
Apr 29 |
comment |
Boundedness of heat semigroup on $L^1(\Omega)$
That is left as an exercise to the reader. |
Apr 29 |
comment |
Boundedness of heat semigroup on $L^1(\Omega)$
This can be done on $C(\bar\Omega)$ by using the maximum principle and then on $L^1$ by duality. See for instance Theorem 3.10 in Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. |
Apr 28 |
comment |
Smallest degree of approximating polynomial
This is asked in a peculiar way. When you say $f(S_1)\in [1,1+2\epsilon]$, do you mean $f(S_1)\subset[1,1+2\epsilon]$ or that $f$ is constant on $S_1$ and its value lies in the interval? |
Apr 28 |
comment |
Backward Uniqueness for the wave equation
But what if the boundary conditions are different? There are actually nontrivial problems (even unsolved problems) here. I doubt, however, that this is what the OP had in mind. |
Apr 26 |
reviewed | Edit A Question on 1, 2 ,3 Conjecture |
Apr 26 |
revised |
A Question on 1, 2 ,3 Conjecture
minor grammar improvements |