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Global well-posedness of nonlinear wave equation with weak and strong dam** terms and logarithmic source term
W Lian, R Xu - Advances in Nonlinear Analysis, 2019 - degruyter.com
The main goal of this work is to investigate the initial boundary value problem of nonlinear
wave equation with weak and strong dam** terms and logarithmic term at three different …
wave equation with weak and strong dam** terms and logarithmic term at three different …
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 …
equation is investigated, which was introduced to model phenomena in population …
On potential wells and applications to semilinear hyperbolic equations and parabolic equations
L Yacheng, Z Junsheng - Nonlinear Analysis: Theory, Methods & …, 2006 - Elsevier
In this paper we generalize the family of potential wells to the initial boundary value problem
of semilinear hyperbolic equations and parabolic equationsandnot only give a threshold …
of semilinear hyperbolic equations and parabolic equationsandnot only give a threshold …
[HTML][HTML] Global solution and blow-up for a class of pseudo p-Laplacian evolution equations with logarithmic nonlinearity
LX Truong - Computers & Mathematics with Applications, 2017 - Elsevier
The main goal of this work is to study an initial–boundary value problem for a nonlinear
pseudoparabolic equation with logarithmic nonlinearity. By using the potential well method …
pseudoparabolic equation with logarithmic nonlinearity. By using the potential well method …
The existence, general decay and blow-up for a plate equation with nonlinear dam** and a logarithmic source term
L Gongwei - Electronic Research Archive, 2020 - aimsciences.org
In this paper, we consider a plate equation with nonlinear dam** and logarithmic source
term. By the contraction map** principle, we establish the local existence. The global …
term. By the contraction map** principle, we establish the local existence. The global …
Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity
H Di, Y Shang, Z Song - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
This paper deals with the initial boundary value problem for strongly damped semilinear
wave equations with logarithmic nonlinearity utt− Δ u− Δ ut= φ p (u) log| u| in a bounded …
wave equations with logarithmic nonlinearity utt− Δ u− Δ ut= φ p (u) log| u| in a bounded …
Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity
In this paper we consider the semilinear wave equation with logarithmic nonlinearity. By
modifying and using potential well combined with logarithmic Sobolev inequality, we derive …
modifying and using potential well combined with logarithmic Sobolev inequality, we derive …
On the solution behavior of a nonlinear time-fractional Klein–Gordon equation: Theoretical study and numerical validation
T Bentrcia, A Mennouni - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
This work is devoted to the behavior analysis of solutions to a time-fractional Klein–Gordon
equation in a multidimensional bounded domain. To get a more flexible representation, the …
equation in a multidimensional bounded domain. To get a more flexible representation, the …
Blow-up for a damped p-Laplacian type wave equation with logarithmic nonlinearity
H Yang, Y Han - Journal of Differential Equations, 2022 - Elsevier
In this paper, a damped p-Laplacian type wave equation with logarithmic nonlinearity is
considered and finite time blow-up of solutions is proved with initial data at different initial …
considered and finite time blow-up of solutions is proved with initial data at different initial …
Kirchhoff-type system with linear weak dam** and logarithmic nonlinearities
X Wang, Y Chen, Y Yang, J Li, R Xu - Nonlinear Analysis, 2019 - Elsevier
For the nonlinear Kirchhoff-type wave system with logarithmic nonlinearities and weak
dissipation the global well-posedness of initial boundary value problem is analyzed …
dissipation the global well-posedness of initial boundary value problem is analyzed …