Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation

X Wang, R Xu - Advances in Nonlinear Analysis, 2020 - degruyter.com
In this paper, the initial boundary value problem for a nonlocal semilinear pseudo-parabolic
equation is investigated, which was introduced to model phenomena in population …

[HTML][HTML] Global existence and blow up of solutions for pseudo-parabolic equation with singular potential

W Lian, J Wang, R Xu - Journal of Differential Equations, 2020 - Elsevier
We consider the initial boundary value problem of pseudo-parabolic equation with singular
potential. We obtain global existence, asymptotic behavior and blowup of solutions with …

Infinite time blow‐up of solutions to a class of wave equations with weak and strong damping terms and logarithmic nonlinearity

H Ding, R Wang, J Zhou - Studies in Applied Mathematics, 2021 - Wiley Online Library
This paper investigates the infinite time blow‐up of solutions with arbitrary high initial energy
to wave equations with weak damping term, strong damping term, and logarithmic …

Global existence and blow-up of solutions to a semilinear heat equation with logarithmic nonlinearity

J Peng, J Zhou - Applicable Analysis, 2021 - Taylor & Francis
In this paper, we study the initial boundary value problem of a semilinear heat equation with
logarithmic nonlinearity. By using potential well method and energy method, we obtain the …

Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy.

Q Lin, X Tian, R Xu, M Zhang - Discrete & Continuous …, 2020 - search.ebscohost.com
In this paper, we study blow up and blow up time of solutions for initial boundary value
problem of Kirchhoff-type wave equations involving the fractional Laplacian {u< sub> tt+[u]< …

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source

J Zhou, H Zhang - Journal of Nonlinear Science, 2021 - Springer
The object of this paper is to study a sixth-order Boussinesq equation with dispersive, linear
strong damping and nonlinear source by using potential well methods, including the …

Well-posedness of solutions for a class of quasilinear wave equations with structural damping or strong damping

H Ding, J Zhou - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper deals with a class of quasilinear wave equations with structural damping or
strong damping. By virtue of the improved Faedo–Galerkin method and some technical …

Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients

M Dimova, N Kolkovska, N Kutev - Nonlinear Analysis, 2024 - Elsevier
In this paper we study the initial boundary value problem for the nonlinear wave equation
with combined power-type nonlinearities with variable coefficients. Existence and …

Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities

N Kolkovska, M Dimova, N Kutev - Open Mathematics, 2023 - degruyter.com
In this article, we investigate the Cauchy problem for Klein-Gordon equations with combined
power-type nonlinearities. Coefficients in the nonlinearities depend on the space variable …

A note on finite time blowup for dissipative Klein–Gordon equation

Y Pang, Y Yang - Nonlinear Analysis, 2020 - Elsevier
This is a continuation of the study on an arbitrarily positive initial energy finite time blowup
result of the solution to the initial value problem of strongly damped Klein-Gordon equation …