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heise | Comet für Android: Wie Perplexitys KI-Browser die Google-Suche ersetzen will
Comet von Perplexity gibt es nun auch für Android: Der KI-Browser klickt sich „agentisch“ durchs Web, beantwortet Fragen und E-Mails. Da ist Vertrauen gefragt.

Remote Desktop: Filevault-Verschlüsselung behindert Mac-Login – Workaround
Wer einen Mac ohne Bildschirm betreibt und macOS wie von Apple erwünscht mit FileVault nutzt, bekommt beim Neustart ein Problem.

Finite element approximation to linear, second order, parabolic problems with $L^1$ data
Gabriel Barrenechea, Abner J. Salgado
https://arxiv.org/abs/2510.05331 https://

Finite element approximation to linear, second order, parabolic problems with $L^1$ data
We consider the approximation to the solution of the initial boundary value problem for the heat equation with right hand side and initial condition that merely belong to $L^1$. Due to the low integrability of the data, to guarantee well-posedness, we must understand solutions in the renormalized sense. We prove that, under an inverse CFL condition, the solution of the standard implicit Euler scheme with mass lumping converges, in $L^\infty(0,T;L^1(Ω))$ and $L^q(0,T;W^{1,q}_0(Ω))$ ($q<\tfrac{…

Existence of global weak solutions to a parabolic $p$-Laplacian problem with convective term
Angelica Pia Di Feola, Michael Ruzicka
https://arxiv.org/abs/2510.05847 https://

Existence of global weak solutions to a parabolic $p$-Laplacian problem with convective term
For a given bounded domain $Ω\subset \mathbb R^3$, with $C^2$ boundary, and a given instant of time $T>0$, we prove the existence of a global weak solution on $(0,T)$, which satisfies a maximum principle, to a parabolic $p$-Laplacian system with convective term without divergence constraint for any $p\in (1,2)$.

Eigenstructure of the linearized electrical impedance tomography problem under radial perturbations
Markus Hirvensalo
https://arxiv.org/abs/2510.05966 https://

Eigenstructure of the linearized electrical impedance tomography problem under radial perturbations
We analyze the Fréchet derivative $F$, that maps a perturbation in conductivity to the linearized change in boundary measurements governed by the conductivity equation. The domain is taken to be the unit ball $B \subset \mathbb{R}^d$ with $d \geq 2$, and we choose perturbations $η$ from the Hilbert space $L^2(B)$. Under the condition that the perturbations are rotationally symmetric, we show that the eigenfunctions of the linear approximation $F η$ correspond to the spherical harmonics. Furt…

Dieser unreflektierte Digitalisierungsschwachsinn der Politiker regt mich auf. Nach Covid haben alle Verwaltungen sorgfältig jegliche Interaktion mit dem Bürger eingestellt. Alle Telefonnummern wurden von den Webseiten entfernt. Termine gibt es nur noch online in 6 Wochen, wenn überhaupt. Was nicht zur Verwaltung dringt, ist halt kein Problem. Oder mit @… : Ensh…

Weniger Bürokratie ist Thema bei der Ministerpräsidentenkonferenz
Ein Auto online abmelden, den neuen Perso oder Kindergeld beantragen: In vielen Kommunen sind digitale Behördengänge schon möglich. Wie das noch besser werden kann, ist ein Thema beim Treffen der Ministerpräsidenten.

Initial experiments on a GPU-accelerated parallel CDR PLL filter.
Fundamentally, the problem is that a PLL is stateful so you can't process any given iteration of it without knowing the previous state. I'm trying to work around that by recognizing that the impulse response of the PLL loop filter tails off to effectively zero after a while, so we can truncate and samples older than that point will not materially affect the output.
What you see here is the first pass of wha…

A contractible Schiffer counterexample on the half-sphere
Gonzalo Cao-Labora, Antonio J. Fern\'andez
https://arxiv.org/abs/2510.05732 https://arxiv.org…

A contractible Schiffer counterexample on the half-sphere
We show the existence of a family of nontrivial smooth contractible domains on the sphere that admit Neumann eigenfunctions of the Laplacian which are constant on the boundary. These domains are contained on the half-sphere, in stark contrast with the rigidity literature for Serrin-type problems. The proof relies on a local bifurcation argument around the family of geodesic disks centered at the north pole. We combine the use of anisotropic Hölder spaces for the functional setting with compute…

Etwas mehr der heute besonders häufig geteilten #News:
Sora 2 ist beeindruckend (und unangenehm)
https://www.