Results 41 to 50 of about 2,019,917 (274)

Global existence and finite time blow-up for a class of fractional p-Laplacian Kirchhoff type equations with logarithmic nonlinearity

open access: yesAIMS Mathematics, 2021
In this paper, we study the initial-boundary value problem for a class of fractional p-Laplacian Kirchhoff diffusion equation with logarithmic nonlinearity.
Fugeng Zeng, Peng Shi, Min Jiang
doaj   +1 more source

The Non-Linear Fokker–Planck Equation in Low-Regularity Space

open access: yesMathematics, 2022
We construct the global existence and exponential time decay rates of mild solutions to the non-linear Fokker–Planck equation near a global Maxwellians with small-amplitude initial data in the low regularity function space Lk1LT∞Lv2 where the regularity ...
Yingzhe Fan, Bo Tang
doaj   +1 more source

On a price formation free boundary model by Lasry & Lions: The Neumann problem [PDF]

open access: yes, 2011
We discuss local and global existence and uniqueness for the price formation free boundary model with homogeneous Neumann boundary conditions introduced by Lasry & Lions in 2007.
Caffarelli, Luis A.   +2 more
core   +3 more sources

Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
doaj   +1 more source

Global existence of small-norm solutions in the reduced Ostrovsky equation [PDF]

open access: yes, 2013
We use a novel transformation of the reduced Ostrovsky equation to the integrable Tzitz\'eica equation and prove global existence of small-norm solutions in Sobolev space $H^3(R)$.
Grimshaw, Roger, Pelinovsky, Dmitry
core   +3 more sources

A coupled system of Laplacian and bi-Laplacian equations with nonlinear dampings and source terms of variable-exponents nonlinearities: Existence, uniqueness, blow-up and a large-time asymptotic behavior

open access: yesAIMS Mathematics, 2023
In this paper, we consider a coupled system of Laplacian and bi-Laplacian equations with nonlinear dampings and source terms of variable-exponents nonlinearities. This system is supplemented with initial and mixed boundary conditions. First, we establish
Salim A. Messaoudi   +3 more
doaj   +1 more source

Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation [PDF]

open access: yesMathematica Bohemica, 2020
We study the existence of global in time and uniform decay of weak solutions to the initial-boundary value problem related to the dynamic behavior of evolution equation accounting for rotational inertial forces along with a linear nonlocal frictional ...
Mohamed Berbiche
doaj   +1 more source

Existence and blow-up of solutions for finitely degenerate semilinear parabolic equations with singular potentials

open access: yesCommunications in Analysis and Mechanics, 2023
In this article, we investigate the initial-boundary value problem for a class of finitely degenerate semilinear parabolic equations with singular potential term.
Huiyang Xu
doaj   +1 more source

Global existence for a nonlocal model for adhesive contact

open access: yes, 2017
In this paper we address the analytical investigation of a model for adhesive contact, which includes nonlocal sources of damage on the contact surface, such as the elongation.
Bonetti, Elena   +2 more
core   +1 more source

Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels

open access: yesNonautonomous Dynamical Systems, 2020
In this paper, we study the global existence of solutions to some semilinear integro-differential evolution equations in Hilbert spaces with sign-varying kernels.
Jin Kun-Peng, Liang Jin, Xiao Ti-Jun
doaj   +1 more source

Home - About - Disclaimer - Privacy