bio | website | linkedin.com/in/tommibrander |
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location | Jyväskylä, Finland | |
age | 27 | |
visits | member for | 5 years |
seen | yesterday | |
stats | profile views | 165 |
Doctoral student at the University of Jyväskylä. Research interests: Calderón problem, non-linear PDE.
Nov 25 |
comment |
Strong solution to $u_t - \Delta_p u = f$
I am not familiar with the p-heat equation, but for the stationary p-Laplace equation the best classical regularity for solutions is $C^{1,\alpha}$. The E-L equation of the energy $\int (|\nabla u|^2+\varepsilon)^{p/2}$ does hold point-wise and its solutions converge in $C^1$ to solutions of the original equation. Maybe something like this could be useful for you? |
Sep 30 |
awarded | Explainer |
Aug 15 |
comment |
inequality involving gradient of two harmonic functions
Without reading the paper in detail: If $u \geq v$ and they are equal at a boundary point, then you may have $|\nabla u| \geq |\nabla v|$ or $|\nabla u| \leq |\nabla v|$ with both $u$ and $v$ linear affine. Take $\Omega$ a circle. In the paper one of the functions is related to the capacity of set being investigated. Maybe that is relevant. |
Apr 23 |
revised |
“Limited angle” in n-dimensional Radon transform?
added inverse problems tag |
Apr 23 |
revised |
Partial recovery from Radon transform
corrected tagging |
Apr 23 |
suggested | suggested edit on “Limited angle” in n-dimensional Radon transform? |
Apr 23 |
suggested | suggested edit on Partial recovery from Radon transform |
Apr 16 |
awarded | Yearling |
Apr 16 |
answered | Reconstructing set of points from one-dimensional images |
Apr 16 |
comment |
Reconstructing set of points from one-dimensional images
Some more questions: Is J known a priori? Can you select the matrices $M_j$ or are they arbitrary? |
Apr 16 |
revised |
Reconstructing set of points from one-dimensional images
spelling and grammar |
Apr 16 |
suggested | suggested edit on Reconstructing set of points from one-dimensional images |
Apr 16 |
comment |
Reconstructing set of points from one-dimensional images
You write that the data includes no knowledge of ordering. What do you mean by this? Does it mean that we do not know if some y in the data is given as $y =M_1 x_4$ or $y=M_2 x_1$, for example? |
Apr 9 |
revised |
Interpretation of the integral “with respect to a plane wave” in terms of Radon transform
added inverse problems tag |
Apr 9 |
revised |
Inversion of Radon transform by incomplete data: specific case
replaced inverse tag with inverse problems tag |
Apr 9 |
revised |
Choosing the order of Tikhonov regularization of an inverse problem
replaced inverse tag with inverse problems tag |
Apr 9 |
suggested | suggested edit on Choosing the order of Tikhonov regularization of an inverse problem |
Apr 9 |
suggested | suggested edit on Inversion of Radon transform by incomplete data: specific case |
Apr 9 |
suggested | suggested edit on Interpretation of the integral “with respect to a plane wave” in terms of Radon transform |
Apr 8 |
revised |
inverse-problems wiki description
added 2866 characters in body |