Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, EarlyView.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
Ramifications of generalized Feller theory. [PDF]
J Evol EquCuchiero C, Möllmann T, Teichmann J.
europepmc +1 more source
Mathematische Nachrichten, EarlyView.Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt +2 more
wiley +1 more source
Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods. [PDF]
PLoS OneDing Y, Zhao Y, Pei Y.
europepmc +1 more source
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, EarlyView.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
A novel approach to coincidence point results via proximal contractions with application. [PDF]
Sci RepAhmad H, Ishtiaq U, Akram M, Popa IL.
europepmc +1 more source
First and second sharp constants in Riemannian Gagliardo–Nirenberg inequalities
Mathematische Nachrichten, EarlyView.Abstract Let (M,g)$(M,g)$ be a smooth compact Riemannian manifold of dimension n≥2$n\ge 2$, 1
Jurandir Ceccon +2 more
wiley +1 more source
Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Nonlinear Differ Equ ApplAgresti A, Veraar M.
europepmc +1 more source
Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Mathematische Nachrichten, EarlyView.Abstract We consider the quasi‐geostrophic equation with its principal part (−Δ)α${(-\mathrm{\Delta})^{\alpha}}$ for α>1/2$\alpha >1/2$ in Rn$\mathbb {R}^n$ with n≥2$n \ge 2$. We show that for every initial data θ0∈Ḃr,q1−2α+nr$\theta _0 \in \dot{B}^{1-2\alpha + \frac{n}{r}}_{r, q}$ with 1
Hideo Kozono +2 more
wiley +1 more source
Some new results on interval-valued volterra integro-differential equations for caputo fractional derivative. [PDF]
Sci RepNoureen S, Zehra A, Tolasa FT.
europepmc +1 more source