239 reputation
218
bio website linkedin.com/in/tommibrander
location Jyväskylä, Finland
age 27
visits member for 5 years, 3 months
seen 14 hours ago
Doctoral student at the University of Jyväskylä. Research interests: Calderón problem, non-linear PDE.

14h
revised What is the limit of the derivative of the harmonic extension/Dirichlet solution in $C^{1,\alpha}$ cases?
corrected spelling
14h
suggested approved edit on What is the limit of the derivative of the harmonic extension/Dirichlet solution in $C^{1,\alpha}$ cases?
15h
asked Space of p-harmonic functions
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 approved edit on “Limited angle” in n-dimensional Radon transform?
Apr
23
suggested approved 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 approved 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 approved edit on Choosing the order of Tikhonov regularization of an inverse problem