Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity
type: Item
instance of: scholarly article
title: Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity
zbMATH Open document ID: 1480.35395
author: Wenjun Liu
author: Jiangyong Yu
author: Gang Li
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2022-01-03T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K70
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 7451501
zbMATH Keywords: fractional pseudo-parabolic equations
zbMATH Keywords: logarithmic nonlinearity
zbMATH Keywords: decay
zbMATH Keywords: blow-up
Wikidata QID: Q115483549
MaRDI profile type: Publication
full work available at URL: dcdss.2021121
OpenAlex ID: W3205806481
cites work: Blowing-up solutions of the time-fractional dispersive equations
cites work: Q4826746
cites work: Lévy Processes and Stochastic Calculus
cites work: On a final value problem for a nonlinear fractional pseudo-parabolic equation
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: Q4888858
cites work: Nonlocal diffusion and applications
cites work: Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
cites work: Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
cites work: Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity
cites work: On logarithmic Sobolev inequalities for higher order fractional derivatives
cites work: A fractional porous medium equation
cites work: A general fractional porous medium equation
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Blow-up phenomena for a pseudo-parabolic equation with variable exponents
cites work: Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms
cites work: Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
cites work: LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION
cites work: On solutions of space-fractional diffusion equations by means of potential wells
cites work: Logarithmic Sobolev Inequalities
cites work: Q5627024
cites work: Blow-up of solutions of nonlinear Sobolev type equations with cubic sources
cites work: Global existence, exponential decay and finite time blow-up of solutions for a class of semilinear pseudo-parabolic equations with conical degeneration
cites work: Global existence and blow-up of weak solutions for a class of fractional \(p\)-Laplacian evolution equations
cites work: The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
cites work: On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term
cites work: A note on blow-up of solution for a class of semilinear pseudo-parabolic equations
cites work: Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions
cites work: Global existence, asymptotic behavior and blow-up of solutions for a suspension bridge equation with nonlinear damping and source terms
cites work: Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign
cites work: On potential wells and applications to semilinear hyperbolic equations and parabolic equations
cites work: Is a nonlocal diffusion strategy convenient for biological populations in competition?
cites work: Global existence and asymptotic behavior for a fractional differential equation
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
cites work: Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: On global solution of nonlinear hyperbolic equations
cites work: Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity
cites work: Mountain pass solutions for non-local elliptic operators
cites work: Variational methods for non-local operators of elliptic type
cites work: Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
cites work: From the long jump random walk to the fractional Laplacian
cites work: Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
cites work: Asymptotic behaviour for the fractional heat equation in the Euclidean space
cites work: Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
cites work: Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
cites work: Long-time behavior of a class of nonlocal partial differential equations
cites work: Stochastic Lagrangian particle approach to fractal Navier-Stokes equations
cites work: A note on blow-up of solutions for a class of fourth-order wave equation with viscous damping term
DOI: 10.3934/DCDSS.2021121
description: scientific article; zbMATH DE number 7451501