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visits | member for | 2 years, 1 month |
seen | 2 days ago | |
stats | profile views | 106 |
Apr 16 |
comment |
Heat kernel and Wiener measure
Ok, now I understand what you meant! As you said, this argument is still lacking of rigour. Can it be that the probability measure is choosen in such a way, that the set A doesn't have measure zero? At least there should be a rigorous justification, since these statements are used by mathematicians to achieve more fancy results |
Apr 15 |
comment |
Heat kernel and Wiener measure
First of all, thank you for your help! I don't know how to use Bayes formula in this situation. Can you tell me how the probability measures are linked with each other? |
Apr 14 |
asked | Heat kernel and Wiener measure |
Jan 4 |
comment |
What is the right initial domain for the Dirichlet-Laplacian on a bounded domain?
Ok thank you. So I assume that the Friedrichs extension of $-\Delta:C^{\infty}_0 (\Omega)\subset L^2(\Omega)\rightarrow L^2(\Omega)$ is equal to the other one. Is that right? |
Jan 4 |
asked | What is the right initial domain for the Dirichlet-Laplacian on a bounded domain? |
Jul 27 |
awarded | Disciplined |
Jul 25 |
awarded | Yearling |
Jul 24 |
awarded | Commentator |
Jun 26 |
accepted | Eigenfunctions of Schrödinger Operators on the boundary |
Jun 22 |
comment |
Eigenfunctions of Schrödinger Operators on the boundary
What do you mean by "test functions". Smooth functions with compact support (in our case this would mean all smooth functions)? |
Jun 22 |
comment |
Eigenfunctions of Schrödinger Operators on the boundary
Thank you for the comment. Actually I wasn't looking for a physical reason (there is no ambient space in my situation). |
Jun 20 |
asked | Eigenfunctions of Schrödinger Operators on the boundary |
May 20 |
comment |
The first eigenvalue of the Schrödinger operator is simple.
You are using the elliptic regularity. What happens if the potenital V is not smooth but just bounded? I think the eigenfunctions will not be smooth anymore. Does the statement remeins true for this case or are there counterexamples? |
May 20 |
revised |
The first eigenvalue of the Schrödinger operator is simple.
added 426 characters in body |
May 20 |
asked | The first eigenvalue of the Schrödinger operator is simple. |
May 20 |
accepted | regularity of eigenfunctions of Schrödinger Operator |
May 20 |
asked | regularity of eigenfunctions of Schrödinger Operator |
May 18 |
accepted | Resolvent of Laplacian |
Apr 4 |
asked | Resolvent of Laplacian |
Mar 15 |
awarded | Scholar |