Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity

From MaRDI portal
Publication:1985788

DOI10.1016/j.na.2019.111664zbMath1436.35257OpenAlexW2982287244MaRDI QIDQ1985788

Yuxuan Chen, Run-Zhang Xu

Publication date: 7 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111664




Related Items (23)

Blow-up of weak solutions for a porous elastic system with nonlinear damping and source termsWell-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearityGlobal existence and decay of solutions for a higher-order Kirchhoff-type systems with logarithmic nonlinearitiesSemilinear Caputo time-fractional pseudo-parabolic equationsExtinction and non-extinction of solutions to a fast diffusion \(p\)-Laplace equation with logarithmic non-linearityGlobal well posedness for the semilinear edge-degenerate parabolic equations on singular manifoldsWell‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearityLocal existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearityBlow-up phenomena for a damped plate equation with logarithmic nonlinearityGlobal existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearityLifespan estimates and asymptotic stability for a class of fourth-order damped \(p\)-Laplacian wave equations with logarithmic nonlinearityGlobal behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficientsOn the initial and terminal value problem for a class of semilinear strongly material damped plate equationsBlow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearitiesMathematical behavior of solutions of the Kirchhoff type equation with logarithmic nonlinearityUnnamed ItemWell-posedness results for a class of semilinear time-fractional diffusion equationsSemilinear pseudo-parabolic equations on manifolds with conical singularitiesGlobal existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain termsGlobal existence and blow-up results for a nonlinear model for a dynamic suspension bridgeAsymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equationGlobal existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source termsGlobal well-posedness of solutions for the \(p\)-Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity



Cites Work


This page was built for publication: Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity