3 papers
math.AP2023
Decay estimates for time-fractional porous medium flow with nonlocal pressure
Nguyen Anh Dao, Anh Nguyen Vu Tien
The main purpose of this paper is to study weak solutions of time-fractional of porous medium equation with nonlocal pressure: \[ \partial^α_t u=\operatorname{div}\left( |u|^{m}\na…
math.CA2022
Gagliardo-Nirenberg type inequalities using fractional Sobolev spaces and Besov spaces
Nguyen Anh Dao
Our main purpose is to establish Gagliardo-Nirenberg type inequalities using fractional homogeneous Sobolev spaces, and homogeneous Besov spaces. In particular, we extend some of t…
math.AP2020
Pointwise gradient estimates in multi-dimensional slow diffusion equations with a singular quenching term
Nguyen Anh Dao, Jesús Ildefonso Díaz, Quan Ba Hong Nguyen
We consider a slow diffusion equation with a singular quenching term, extending the mathematical treatment made in 1992 by B. Kawohl and R. Kersner for the one-dimensional case. Be…