Results 41 to 50 of about 412 (197)
A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, EarlyView.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
Pyramidal traveling fronts in the Belousov-Zhabotinskii reaction-diffusion systems in R^3
Electronic Journal of Differential Equations, 2020 In this article, we consider a diffusion system with the Belousov-Zhabotinskii (BZ for short) chemical reaction. The existence and stability of V-shaped traveling fronts for the BZ system in $\mathbb{R}^2$ had been proved in our previous papers [30,
Luyi Ma, Hong-Tao Niu, Zhi-Cheng Wang
doaj
Go Green or Go Digital? A Set‐Theoretic Perspective of Incumbents' Paths to Success
Creativity and Innovation Management, Volume 35, Issue 1, Page 125-142, March 2026.ABSTRACT In response to growing pressures for environmental sustainability and technological advancement, this study examines how firms can effectively integrate green and digital innovations within ambidextrous strategies to enhance performance. Using fuzzy‐set Qualitative Comparative Analysis (fsQCA) on a sample of 175 German manufacturing and ...
Bettina Mayr
wiley +1 more source
Traveling fronts of pyramidal shapes in competition-diffusion systems
Networks and Heterogeneous Media, 2013 It is well known that a competition-diffusion system hasa one-dimensional traveling front.This paper studies traveling front solutions of pyramidal shapesin a competition-diffusion system in $\mathbb{R}^N$ with $N\geq 2$.By using a multi-scale method,we ...
Wei-Ming Ni, Masaharu Taniguchi
doaj +1 more source
Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley +1 more source
On uniqueness of solutions to complex Monge–Ampère mean field equations
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley +1 more source
Mean Values of Subsolutions of Elliptic and Parabolic Equations [PDF]
Transactions of the American Mathematical Society, 1983 Integral averages of weak subsolutions (and supersolutions) in R n {R^n} of quasilinear elliptic and parabolic equations are investigated. The important feature is that these integral averages are defined in terms of measures that reflect interesting geometric phenomena.
openaire +2 more sources
The robust Orlicz risk with an application to the green photovoltaic power generation
Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
wiley +1 more source
Convexity of level sets for solutions to nonlinear elliptic problems in convex rings
Electronic Journal of Differential Equations, 2006 We find suitable assumptions for the quasi-concave envelope $u^*$ of a solution (or a subsolution) $u$ of an elliptic equation $F(x,u, abla u,D^2u)=0$ (possibly fully nonlinear) to be a viscosity subsolution of the same equation.
Paola Cuoghi, Paolo Salani
doaj
Sign-changing and multiple solutions for the p-Laplacian
Abstract and Applied Analysis, 2002 We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.
Siegfried Carl, Kanishka Perera
doaj +1 more source