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arXiv:2603.06352v1 Announce Type: new Abstract: In this paper we study the singular set in the parabolic obstacle problem for general obstacles $\varphi \in C^{2,1}$. We...
arXiv:2603.06355v1 Announce Type: new Abstract: For a set $A$ let ${{\mathbf {SC}}_A}$ be the poset of simplicial complexes whose vertices are in $A$. For a...
arXiv:2603.06368v1 Announce Type: new Abstract: We describe the large deviations above its typical value of the maximal energy of a spin glass with +/-1 spins....
arXiv:2603.06379v1 Announce Type: new Abstract: We establish an asymptotic expansion in inverse powers of time of the correlation function of isometric extensions of volume-preserving Anosov...
arXiv:2603.06380v1 Announce Type: new Abstract: Accurate estimation of spatial derivatives from discrete and noisy data is central to scientific machine learning and numerical solutions of...
arXiv:2603.06390v1 Announce Type: new Abstract: We study the stationary nonlinear Schr\"odinger equation \begin{equation}-\Delta u+V(x)u+\lambda u=|u|^{q-2}u,\quad u \in H^1(\mathbb{R}^N), \quad N \geq 2\end{equation} where $V \in...
arXiv:2603.06391v1 Announce Type: new Abstract: We present an optimization-based formulation of the Red Light Green Light (RLGL) algorithm for computing stationary distributions of large Markov...
arXiv:2603.06411v1 Announce Type: new Abstract: In this work, we investigate the exponential stability of the viscous Saint-Venant equations by adding to the standard hyperbolic Saint-Venant...
arXiv:2603.06414v1 Announce Type: new Abstract: We introduce a stochastic nonlocal reaction--diffusion model arising in tumour dynamics. Spatial dispersal is described by the fractional Laplacian, accounting...
arXiv:2603.06415v1 Announce Type: new Abstract: Let $\mathcal{H} \subseteq \binom{[n]}{r}$ be an $r$-uniform hypergraph on vertex set $[n] = \{1,2,\dots, n\}$. For an $r$-set of vertices...
arXiv:2603.06417v1 Announce Type: new Abstract: We establish the existence of nontrivial nonnegative weak solutions to the following equation \begin{equation*} -\Delta_\gamma u + V(z)u = Q(z)f(u),...
arXiv:2603.06419v1 Announce Type: new Abstract: In a previous paper we began our analysis on the role of non self-adjoint Hamiltonians in connection with the Heisenberg...
arXiv:2603.06420v1 Announce Type: new Abstract: In this paper, we investigate rigid-ruling folding motions of crease-rule patterns, that is, conjugacy-preserving isometries of developable semi-discrete conjugate nets....
arXiv:2603.06427v1 Announce Type: new Abstract: In optimal control, extending the class of admissible controls is a common strategy to guarantee the existence of optimal solutions....
arXiv:2603.06430v1 Announce Type: new Abstract: We confirm Martin's conjecture for a broad subclass of weakly quasi-o-minimal theories.
arXiv:2603.06431v1 Announce Type: new Abstract: Neural network methods for PDEs require reliable error control in function space norms. However, trained neural networks can typically only...
arXiv:2603.06432v1 Announce Type: new Abstract: Let $f(x)=x^{2p}+ax^p+b^p$, where $p$ is a prime and $a,b\in {\mathbb Z}$ with $ab\ne 0$. If $f(x)$ is irreducible over ${\mathbb...
arXiv:2603.06435v1 Announce Type: new Abstract: The Casten-Holland and Matano theorem for interior reactions states that no nonconstant stable solutions exist in convex domains $\Omega$ of...
arXiv:2603.06438v1 Announce Type: new Abstract: Sylvester showed that the partition of an integer into a set of positive integers can be represented as a sum...
arXiv:2603.06442v1 Announce Type: new Abstract: For solving constrained (pseudo)-monotone variational inequality, we prove that the upper bound of stepsize $\frac{1}{2L}$ established for the Popov's algorithm...
arXiv:2603.06443v1 Announce Type: new Abstract: Given an o-minimal structure, we show that every definable (in this structure) mapping that is Lipschitz with respect to the...
arXiv:2603.06447v1 Announce Type: new Abstract: It is known that a point in three-dimensional Euclidean space whose coordinates are equal to the cosines of the angles...
arXiv:2603.06448v1 Announce Type: new Abstract: In this manuscript, we establish local Schauder estimates for flat viscosity solutions, that is, solutions with sufficiently small norms, to...
arXiv:2603.06452v1 Announce Type: new Abstract: A random variable $\xi$ has a {\it light-tailed} distribution (for short: is light-tailed) if it possesses a finite exponential moment,...