bio  website  linkedin.com/in/tommibrander 

location  Jyväskylä, Finland  
age  27  
visits  member for  5 years, 3 months 
seen  14 hours ago  
stats  profile views  177 
Doctoral student at the University of Jyväskylä. Research interests: Calderón problem, nonlinear 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 pharmonic functions 
Nov 25 
comment 
Strong solution to $u_t  \Delta_p u = f$
I am not familiar with the pheat equation, but for the stationary pLaplace equation the best classical regularity for solutions is $C^{1,\alpha}$. The EL equation of the energy $\int (\nabla u^2+\varepsilon)^{p/2}$ does hold pointwise 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 ndimensional 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 ndimensional 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 onedimensional images 
Apr 16 
comment 
Reconstructing set of points from onedimensional 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 onedimensional images
spelling and grammar 
Apr 16 
suggested  approved edit on Reconstructing set of points from onedimensional images 
Apr 16 
comment 
Reconstructing set of points from onedimensional 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 