bio | website | linkedin.com/in/tommibrander |
---|---|---|
location | Jyväskylä, Finland | |
age | 27 | |
visits | member for | 5 years, 4 months |
seen | 10 hours ago | |
stats | profile views | 198 |
Doctoral student at the University of Jyväskylä. Research interests: Calderón problem, non-linear PDE.
Mar 17 |
comment |
Fredholm integral with functions constrained to [0;1]
Crossposted to math.SE math.stackexchange.com/questions/1192779/… . Please don't post the same question to several sites at once, or at least provide a link if you do. |
Mar 12 |
comment |
Harmonic functions subject to orthogonality condition
For you $\bar \Omega$ is not the closure of Omega, right? |
Feb 23 |
comment |
Extension of Sobolev Functions
Suppose Omega is, say, a square or cube, and u(x) = x_n. Can you solve your problem in this or other simplified situation? |
Feb 23 |
comment |
probabilistic interpretation of elliptic equation with mixed boundary condition
How much do you already know? Can you establish the probabilistic interpretation in a simpler situation, and if so, why is this more difficult? |
Feb 5 |
comment |
Mountain Pass theorem for minimization problems with constraints
Linking theorem might be useful. The aforementioned references should contain relevant material. |
Feb 5 |
comment |
Mountain Pass theorem for minimization problems with constraints
There are generalisations of the theorem: see for example references [17] and [24] in master's thesis of Eero Ruosteenoja: jyx.jyu.fi/dspace/handle/123456789/41049 |
Feb 5 |
awarded | Commentator |
Feb 5 |
comment |
Mountain Pass theorem for minimization problems with constraints
Mountain pass theorem finds saddle points. What are you precisely looking, a minimum of the functional or a saddle point? |
Feb 2 |
revised |
Space of p-harmonic functions
added a tag |
Jan 31 |
comment |
Space of p-harmonic functions
@Craig I am aware of Lindqvist's notes. I don't remember them answering this sort of question, but I have not read through them in detail. Can you be more precise with the reference? |
Jan 29 |
revised |
What is the limit of the derivative of the harmonic extension/Dirichlet solution in $C^{1,\alpha}$ cases?
corrected spelling |
Jan 29 |
suggested | approved edit on What is the limit of the derivative of the harmonic extension/Dirichlet solution in $C^{1,\alpha}$ cases? |
Jan 29 |
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 |