Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity

DOI10.3934/dcdss.2021121zbMath1480.35395OpenAlexW3205806481WikidataQ115483549 ScholiaQ115483549MaRDI QIDQ2062955

Gang Li, Wenjun Liu, Jiangyong Yu

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021121

zbMATH Keywords

decayblow-uplogarithmic nonlinearityfractional pseudo-parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (1)

The regularized solution approximation of forward/backward problems for a fractional pseudo-parabolic equation with random noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal diffusion and applications
• Blow-up phenomena for a pseudo-parabolic equation with variable exponents
• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Stochastic Lagrangian particle approach to fractal Navier-Stokes equations
• Hitchhiker's guide to the fractional Sobolev spaces
• Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
• Is a nonlocal diffusion strategy convenient for biological populations in competition?
• A fractional porous medium equation
• Mountain pass solutions for non-local elliptic operators
• Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
• Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms
• Saddle points and instability of nonlinear hyperbolic equations
• Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
• Long-time behavior of a class of nonlocal partial differential equations
• Global existence, exponential decay and finite time blow-up of solutions for a class of semilinear pseudo-parabolic equations with conical degeneration
• Global existence, asymptotic behavior and blow-up of solutions for a suspension bridge equation with nonlinear damping and source terms
• A note on blow-up of solution for a class of semilinear pseudo-parabolic equations
• Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity
• On logarithmic Sobolev inequalities for higher order fractional derivatives
• Variational methods for non-local operators of elliptic type
• Global existence and blow-up of weak solutions for a class of fractional \(p\)-Laplacian evolution equations
• Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity
• Blowing-up solutions of the time-fractional dispersive equations
• The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
• On a final value problem for a nonlinear fractional pseudo-parabolic equation
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Global existence and asymptotic behavior for a fractional differential equation
• On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term
• Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
• Blow-up of solutions of nonlinear Sobolev type equations with cubic sources
• On potential wells and applications to semilinear hyperbolic equations and parabolic equations
• On global solution of nonlinear hyperbolic equations
• Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign
• From the long jump random walk to the fractional Laplacian
• A General Fractional Porous Medium Equation
• Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
• Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
• A note on blow-up of solutions for a class of fourth-order wave equation with viscous damping term
• LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION
• Lévy Processes and Stochastic Calculus
• Logarithmic Sobolev Inequalities
• On solutions of space-fractional diffusion equations by means of potential wells
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
• Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions
• Model equations for long waves in nonlinear dispersive systems
• Asymptotic behaviour for the fractional heat equation in the Euclidean space

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