On the initial and terminal value problem for a class of semilinear strongly material damped plate equations

DOI10.1016/j.jmaa.2020.124481zbMath1448.35339OpenAlexW3047797209MaRDI QIDQ2199312

Renhai Wang, Vo Van Au, Nguyen Huy Tuan, Run-Zhang Xu

Publication date: 16 September 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124481

zbMATH Keywords

regularization methodpolynomial sourcelogarithmic source

Mathematics Subject Classification ID

Plates (74K20) Ill-posed problems for PDEs (35R25) Abstract hyperbolic equations (35L90) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)

Related Items (9)

On a time fractional diffusion with nonlocal in time conditions ⋮ Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity ⋮ A mixed nonlinear time-fractional Rayleigh-Stokes equation ⋮ Analysis of large time asymptotics of the fourth‐order parabolic system involving variable coefficients and mixed nonlinearities ⋮ Recovering the initial distribution for a logarithmic nonlinear biparabolic equation ⋮ Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients ⋮ On the well-posedness and blow-up for a semilinear biparabolic equation ⋮ On some inverse problem for bi-parabolic equation with observed data in L^{p} spaces ⋮ Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• Continuity of solutions of a class of fractional equations
• Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation
• Global existence and nonexistence of solutions for a system of nonlinear damped wave equations
• Geometric theory of semilinear parabolic equations
• Global solvability for damped abstract nonlinear hyperbolic systems
• \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
• Gevrey regularity for the Navier-Stokes in a half-space
• Abstract Volterra integrodifferential equations with applications to parabolic models with memory
• Energy decay for a damped nonlinear hyperbolic equation
• A nonlinear beam equation
• Global existence, asymptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term
• Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
• Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
• Kirchhoff-type system with linear weak damping and logarithmic nonlinearities
• Asymptotic profiles for wave equations with strong damping
• Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space
• Positive solutions for nonlinear Neumann problems with singular terms and convection
• Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity
• Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Asymptotic profiles for a strongly damped plate equation with lower order perturbation
• Recovering the initial distribution for strongly damped wave equation
• The initial-boundary value problems for a class of nonlinear wave equations with damping term
• A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
• ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS
• Editorial board
• Numerical Analysis of Nonlinear Subdiffusion Equations
• Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements
• A note on the derivation of filter regularization operators for nonlinear evolution equations
• Regularization of initial inverse problem for strongly damped wave equation
• Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
• Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity
• Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves

This page was built for publication: On the initial and terminal value problem for a class of semilinear strongly material damped plate equations