Advanced search    

Search: authors:"Yanchao Gao"

3 papers found.
Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

Existence,uniqueness, and nonexistence of solutions to nonlinear diffusion equations with p ( x , t ) -Laplacian operator

The aim of this paper is to deal with the existence and nonexistence of weak solutions to the initial and boundary value problem for u t = div ( | ∇ u | p ( x , t ) − 2 ∇ u + b ( x , t ) ∇ u ) + f ( u ) . By constructing suitable function spaces and applying the method of Galerkin’s approximation as well as weak convergence techniques, the authors prove the existence of local...

Extinction and asymptotic behavior of solutions for nonlinear parabolic equations with variable exponent of nonlinearity

The aim of this paper is to study the existence and extinction of weak solutions of the initial and boundary value problem for u t = div ( ( | u | σ ( x , t ) + d 0 ) | ∇ u | p ( x , t ) − 2 ∇ u ) + f ( x , t , u ) . First, the authors apply the method of parabolic regularization and Galerkin’s method to prove the existence of solutions to the problem mentioned and then obtain...

Overexpression of Klotho suppresses liver cancer progression and induces cell apoptosis by negatively regulating wnt/β-catenin signaling pathway

Background Klotho is a discovered aging suppressor gene, and its overexpression in mice extends the life span of the animal. Recently, Klotho is also identified as a tumor suppressor gene in variety of tumors; however, the potential role and the antitumor mechanism remain unclarified in liver cancers. Methods RT-PCR and western blotting analysis were used to detect the expression...