Results 71 to 80 of about 14,488 (245)

Regularity of random attractors for stochastic semilinear degenerate parabolic equations

Electronic Journal of Differential Equations, 2012
We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh, Tang Quoc Bao, Nguyen Van Thanh   +2 more
doaj  

A Liouville theorem for superlinear heat equations on Riemannian manifolds

, 2019
We study the triviality of the solutions of weighted superlinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We prove a Liouville--type theorem for solutions bounded from below with nonnegative initial data, under an integral ...
Castorina, Daniele, Mantegazza, Carlo, Sciunzi, Berardino   +2 more
core   +1 more source

Hermite solution for a new fractional inverse differential problem

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.
Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj, Abdelaziz Mennouni, Carlo Cattani   +2 more
wiley   +1 more source

Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy

Boundary Value Problems, 2017
In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prove that the solutions blow up in finite time ...
Haixia Li, Yuzhu Han
doaj   +1 more source

Optimized Predator‐Prey and MPA Based Fishing Strategies for the Baltic Sea

Natural Resource Modeling, Volume 38, Issue 1, February 2025.
ABSTRACT Marine protected areas (MPAs) have become the de‐facto mechanism for marine species conservation and management and the ecological benefits of no take zones (NTZs) are supported by an expanding scientific interest in their effectiveness. However, in the south‐western Baltic region there is a paucity of studies on the validity of MPAs, possibly
Simon Taylor, Malte Braack
wiley   +1 more source

Construction of entire solutions for semilinear parabolic equations

Electronic Journal of Differential Equations, 2008
Entire solutions of parabolic equations (those which are defined for all time) are typically rather rare. For example, the heat equation has exactly one entire solution - the trivial solution.
Michael Robinson
doaj  

Dissipative Gradient Nonlinearities Prevent δ$\delta$‐Formations in Local and Nonlocal Attraction–Repulsion Chemotaxis Models

Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.
ABSTRACT We study a class of zero‐flux attraction–repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density u$u$, the chemosensitivities and the production rates of the chemoattractant v$v$ and the chemorepellent w$w$. In addition, a source involving also the gradient of u$u$ is incorporated.
Tongxing Li, Daniel Acosta‐Soba, Alessandro Columbu, Giuseppe Viglialoro   +3 more
wiley   +1 more source

Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities

Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 444-462, February 2025.
Abstract It is shown that semilinear parabolic evolution equations u′=Au+f(t,u)$u^{\prime }=Au+f(t,u)$ featuring Hölder continuous nonlinearities f=f(t,u)$ f=f(t,u)$ with at most linear growth possess global strong solutions for a general class of initial data. The abstract results are applied to a recent model describing front propagation in bushfires
Bogdan‐Vasile Matioc, Christoph Walker
wiley   +1 more source

Semilinear parabolic equations in $L^1(\Omega)$

Advances in Differential Equations, 2007
n ...
openaire   +4 more sources

Modular representations of the Yangian Y2$Y_2$

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract Let Y2$Y_2$ be the Yangian associated to the general linear Lie algebra gl2$\mathfrak {gl}_2$, defined over an algebraically closed field k$\mathbb {k}$ of characteristic p>0$p>0$. In this paper, we study the representation theory of the restricted Yangian Y2[p]$Y^{[p]}_2$.
Hao Chang, Jinxin Hu, Lewis Topley
wiley   +1 more source