Results 111 to 120 of about 524,480 (211)
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Malliavin differentiability of McKean-Vlasov SDEs with locally Lipschitz coefficients [PDF]
In this short note, we establish Malliavin differentiability of McKean-Vlasov Stochastic Differential Equations (MV-SDEs) with drifts satisfying both a locally Lipschitz and a one-sided Lipschitz assumption, and where the diffusion coefficient is assumed
Wilde, Zac, Reis, Goncalo dos
core +2 more sources
Context‐free graphs and their transition groups
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
Continuity of the solutions sets for parametric set optimization problems
The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018.
Manli Yang, Taiyong Li, Guanghui Xu
doaj +1 more source
Networked engineering systems, including robotic collectives, autonomous vehicle platoons, sensor networks, and microgrids, must maintain coordinated operation in the presence of nonlinear system dynamics and communication disruptions arising from cyber ...
Muhammad Rehan
doaj +1 more source
The SIR Model in a Moving Population: Propagation of Infection and Herd Immunity
ABSTRACT In a collection of particles performing independent random walks on Zd$\mathbb {Z}^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and are removed at rate ν$\nu$.
Duncan Dauvergne, Allan Sly
wiley +1 more source
Sierpiński's hierarchy and locally Lipschitz functions [PDF]
Let Z be an uncountable Polish space. It is a classical result that if I ⊆ ℝ is any interval (proper or not), f: I → ℝ and $α 0)$ in Sierpiński's classification of Borel measurable functions the analogous result holds where the condition that f is ...
Morayne, Michał
core
Downscaling of Tropical Cyclone Surface Wind Fields With a Hybrid Attention Transformer
Abstract This study employs a Hybrid Attention Transformer‐based super‐resolution model to reconstruct tropical cyclone (TC) surface wind fields. The model downscales coarse‐resolution ERA5 reanalysis data to high‐resolution HWind analyses (1998–2013), increasing the horizontal resolution by a factor of five.
Chunhua Wang +4 more
wiley +1 more source
Two Positive Solutions for Elliptic Differential Inclusions
The existence of two positive solutions for an elliptic differential inclusion is established, assuming that the nonlinear term is an upper semicontinuous set-valued mapping with compact convex values having subcritical growth.
Gabriele Bonanno +3 more
doaj +1 more source
A Model of Strategic Sustainable Investment
ABSTRACT We study a problem of optimal irreversible investment and emission reduction formulated as a nonzero‐sum dynamic game between an investor with environmental preferences and a firm. The game is set in continuous‐time on an infinite‐time horizon.
Tiziano De Angelis +2 more
wiley +1 more source

