Tootfinder

Quick thoughts on this Brown Columbia Tim Cook’s humiliating behavior:
- Caving to bullies never protects you, it just brings them back for more (duh).
- I deeply appreciate the institutions that are closing ranks and fighting back, and know that we aren’t always hearing about that (and in some cases shouldn’t).
- It is time to start making public and prominent quisling lists that name individuals, not just institutions, and that feel like they’re going to come with consequences of some kind.
https://mstdn.social/@GottaLaff/114994193026982066

Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
Fei Hou, Huicheng Yin
https://arxiv.org/abs/2508.03348 https…

Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
In the paper [S. Alinhac, The null condition for quasilinear wave equations in two space dimensions I, Invent. Math. 145 (2001), no. 3, 597-618], S. Alinhac established the global existence of small data smooth solutions to the Cauchy problem of 2-D quadratically quasilinear wave equations with null conditions. However, for the corresponding 2-D initial boundary value problem in exterior domains, it is still open whether the global solutions exist. When the 2-D quadratic nonlinearity admits a s…

Characterizations of Pseudolinear and Semi-strictly Quasilinear Functions
Vsevolod I. Ivanov
https://arxiv.org/abs/2509.02497 https://arxiv.org/pdf/2509.02…

Characterizations of Pseudolinear and Semi-strictly Quasilinear Functions
In this paper we obtain several new complete characterizations of pseudolinear functions. Two of the results are of first-order and one is derivative free. All results are derived in terms of the Clarke-Rockafellar subdifferential. Additionally, we prove a characterization of the semi-strictly quasilinear functions. It is similar to the derivative free characterization of the pseudolinear functions. We also find the conditions such that a semi-strictly quasilinear function become pseudolinear.

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Saya Gray:
🎵 Lie Down.. (Radio Edit)
#NowPlaying #SayaGray
https://sayagray.bandcamp.com/track/lie-down
https://open.spotify.com/track/0qAqL3nD144kp12vNHMlxB

Ab Initio Study of $^7$Li with Coupled $^6$Li $n$ and $^6$He $p$ Mass Partitions
Jakub Herko (TRIUMF, Lawrence Livermore National Laboratory), Konstantinos Kravvaris (Lawrence Livermore National Laboratory), Petr Navr\'atil (TRIUMF, University of Victoria), Sofia Quaglioni (Lawrence Livermore National Laboratory), Guillaume Hupin (Universit\'e Paris-Saclay, CNRS/IN2P3, IJCLab), Mark A. Caprio (Department of Physics and Astronomy, University of Notre Dame)

Ab Initio Study of $^7$Li with Coupled $^6$Li + $n$ and $^6$He + $p$ Mass Partitions
Background: Lithium plays an important role in nuclear astrophysics, fusion energy generation, and nuclear technology. From a theoretical point of view, the nucleus $^7$Li presents a remarkable challenge, as its bound states and resonances can be understood as being formed by a $^4$He and $^3$H pair, or simultaneously, a single neutron/proton coupled to a $^6$Li/$^6$He core. In light of this complexity, a consistent description of $^7$Li bound-state and continuum properties in a unified model p…

The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems
Vincent Duch\^ene, Johanna Ulvedal Marstrander
https://arxiv.org/abs/2507.00516

The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems
We discuss the rigorous justification of the spatial discretization by means of Fourier spectral methods of quasilinear first-order hyperbolic systems. We provide uniform stability estimates that grant spectral convergence of the (spatially) semi-discretized solutions towards the corresponding continuous solution provided that the underlying system satisfies some suitable structural assumptions. We consider a setting with sharp low-pass filters and a setting with smooth low-pass filters and arg…

On the behavior of the ground state energy under weak perturbation of critical quasilinear operators in $\mathbb{R}^N$
Ujjal Das, Hynek Kova\v{r}\'ik, Yehuda Pinchover
https://arxiv.org/abs/2508.01940

On the behavior of the ground state energy under weak perturbation of critical quasilinear operators in $\mathbb{R}^N$
We consider a critical quasilinear operator $-Δ_p u +V|u|^{p-2}u$ in $\mathbb{R}^N$ perturbed by a weakly coupled potential. For $N>p$, we find the leading asymptotic of the lowest eigenvalue of such an operator in the weak coupling limit separately for $N>p^2$ and $N\leq p^2$.

🇺🇦 Auf radioeins läuft...
Saya Gray:
🎵 Lie Down.. (Radio Edit)
#NowPlaying #SayaGray
#radioeins gespielten Titel als #Spotify Playliste: https://open.spotify.com/playlist/3hdH98B6uyXilhcWxCA6nv

Perimeter on a manifold, with applications to partial differential equations
Satyanad Kichenassamy (DMA)
https://arxiv.org/abs/2507.04740 https://

Perimeter on a manifold, with applications to partial differential equations
The perimeter of a measurable subset of $\mathbb R^N$ is the total variation of its characteristic function. We generalize this notion to a subset $E$ of a closed Riemannian manifold. We show that the perimeter of $E$ is the limit of the hear kernel regularization of its characteristic function. A generalization of the isoperimetric inequality and of the Fleming-Rishel formula follow. These results are applied to a quasilinear elliptic problem in $\mathbb R^N$ for which the usual symmetrization…

Existence and concentration of nontrivial solutions for quasilinear Schr\"{o}dinger equation with indefinite potential
Lifeng Yin, Xiaoqi Liu, Yongyong Li
https://arxiv.org/abs/2507.01748

Existence and concentration of nontrivial solutions for quasilinear Schrödinger equation with indefinite potential
This paper is concerned with the quasilinear Schrödinger equation \begin{align*} -Δu+V(x)u+\frac{k}{2}Δ(u^2)u=f(u)\quad \text{in}~~\mathbb{R}^N\text{,} \end{align*} where $N\geq 3$, $k>0$, $V\in C(\R)$ is an indefinite potential. Under structural conditions on the potential $V$ and the nonlinearity $f$, we establish the existence of a nontrivial solution through a combination of a local linking argument, Morse theory, and the Moser iteration. Moreover, if $f$ is odd, we obtain an unbounded s…