Results 211 to 220 of about 6,609,770 (304)

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng   +3 more
wiley   +1 more source

Graded Differential Polynomial Rings

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley   +1 more source

The Reduction Theorem for Leavitt Path Algebras of Labeled Graphs and Its Applications

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We introduce a notion of labeled cycle for normal labeled spaces and prove a reduction theorem for Leavitt path algebras associated with labeled graphs. We show that every nonzero element can be reduced, by suitable left and right multiplication, either to a nonzero scalar multiple of a projection or to a polynomial supported on a labeled ...
Daniel Gonçalves   +2 more
wiley   +1 more source

Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We find all zero‐dimensional spaces of newforms of weight 2 and squarefree level N$N$ with a fixed Atkin–Lehner sign pattern. As an application, we classify unexpected primes of good reduction of Atkin–Lehner quotients of modular and Shimura curves of squarefree levels.
Oana Padurariu   +2 more
wiley   +1 more source

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