bio | website | uni-ulm.de/en/mawi/analysis/… |
---|---|---|
location | Germany | |
age | 35 | |
visits | member for | 1 year, 8 months |
seen | yesterday | |
stats | profile views | 1,144 |
I work on evolution equations, sometimes on their applications too. I am interested in PDEs and functional analysis. I am fond of algebraic graph theory.
Apr 21 |
comment |
Physical and real life interpretation of the concept of regularity used in differential equations?
good example. a similar example also works for the wave or plate equation, which is seemingly one of the reasons why windows on planes have round corners (i.e., regularity of the boundary avoids cracks). |
Apr 17 |
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Recreating the wheel
I share Ben McKay's opinion, but once it happened to me that my collaborator and I re-found a theorem with exactly the very same proof found by a math physicist more than 30 years earlier. We discovered this by chance, googling for something different. At the end we decided to generalize his result taking advantage of some functional analytical notions that had appeared since then, but clearly we were much less motivated to work on it after this discovery. |
Apr 17 |
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Estimate infinity norm with Lp and W1p norm
sorry, year -> here. amazing typo. |
Apr 16 |
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Estimate infinity norm with Lp and W1p norm
@Deane Yang: But $n=1$ year, isn't it? |
Apr 16 |
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a class of directed hypergraphs
thanks. but i was looking exactly for a refinement of rusnak's concepts. in my post, i used the word "directed" as a sloppy synonym of your "oriented". it was the further condition the one that really matters. |
Apr 16 |
answered | Estimate infinity norm with Lp and W1p norm |
Apr 16 |
asked | a class of directed hypergraphs |
Apr 13 |
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Laplacian matrix of a graph with negative weights
I am sorry, but I do not understand your question yet. The Laplacian is just a matrix defined in a certain way, and its introduction goes back to Kirchhoff. At a certain point in the history (around 1970) people started noticing this matrix was tightly connected with the "usual" Laplacian on domains. If you are interested in some historical remarks, you can take a look at the notes at the end of Chapter 2 of this monograph: uni-ulm.de/fileadmin/website_uni_ulm/mawi.inst.010/mugnolo/… |
Apr 13 |
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Laplacian matrix of a graph with negative weights
Concerning your first question: What do you mean by "references"? It is a definition. But a standard one, if you mean this: Take a look in Biggs' book, Godsil-Royle's book, Mohar's surveys, etc. Yes, loops are generally very problematic when it comes to defining Laplacians, even if no weights are assigned. |
Apr 12 |
answered | Laplacian matrix of a graph with negative weights |
Apr 11 |
revised |
Riemannian metric and Volume form for $SE(n)$ and/or $E(n)$
corrected spelling |
Apr 11 |
suggested | suggested edit on Riemannian metric and Volume form for $SE(n)$ and/or $E(n)$ |
Apr 8 |
answered | Existence for ODE in Banach space (accretive operators and Crandall-Liggett) |
Mar 4 |
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Besicovitch Almost Periodic Functions a subspace of what?
also, I would refrain from calling this the common example of a nonseparable Hilbert space. |
Feb 28 |
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$2$-normed Spaces
my first guess would have been that $N(x,y)$ is just another way of writing $\|x-y\|$ for a suitable norm $\|\cdot\|$, but then i saw (3) and (4)... |
Feb 21 |
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parabolic PDE with almost-monotone elliptic operator, existence results?
I am not sure to understand. That convergence is automatic if your functional satisfies the assumption of that theorem (coercivity etc.). And those assumptions are of course formulated thinking of a relatively general parabolic setting. How comes that that convergence fails? Do you have an oscillating behaviour as $m\to\infty$? |
Feb 18 |
answered | parabolic PDE with almost-monotone elliptic operator, existence results? |
Feb 18 |
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parabolic PDE with almost-monotone elliptic operator, existence results?
Are you thinking of a linear $A$? Should $V$ be a Hilbert space as in the usual notion of Gel'fand triple? |
Feb 14 |
revised |
Linear dynamical systems: interpretation of Frobenius eigenvector
edited body |
Feb 14 |
answered | Linear dynamical systems: interpretation of Frobenius eigenvector |