In this paper, we study a class of semilinear pseudo-parabolic equations. By introducing a
family of potential wells, we prove the invariance of some sets, global existence …

In this paper, we study the initial boundary value problem for a class of semilinear pseudo-
parabolic equations with logarithmic nonlinearity. By using the logarithmic Sobolev …

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 …

We consider the initial boundary value problem for a mixed pseudo-parabolic p-Laplacian
type equation with logarithmic nonlinearity. Constructing a family of potential wells and using …

The initial boundary value problem of a class of reaction-diffusion systems (coupled
parabolic systems) with nonlinear coupled source terms is considered in order to classify the …

This paper is concerned with a class of semilinear hyperbolic equations with singular
potentials on the manifolds with conical singularities, which was introduced to describe a …

To understand the characteristics of dynamical behavior especially the kinetic evolution for
logarithmic nonlinearity, we aim to study the global well-posedness of nonlinear fourth order …

In this article, we investigate the initial-boundary value problem for a class of finitely
degenerate semilinear parabolic equations with singular potential term. By applying the …

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 …

In this paper, we consider the initial boundary value problem for a class of fourth-order wave
equations with strong dam** term, nonlinear weak dam** term, strain term and …