1 citations · 1 across the 4 of their papers we have counts for
6 papers
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…
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…
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…
Initial trace of solutions of Hamilton-Jacobi parabolic equation with absorption
Marie-Françoise Bidaut-Véron, Nguyen Anh Dao
Here we study the initial trace problem for the nonnegative solutions of the equation \[ u\_{t}-Δu+|\nabla u|^{q}=0 \] in wher…
estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms
Marie-Françoise Bidaut-Véron, Nguyen Anh Dao
Here we study the nonnegative solutions of the viscous Hamilton-Jacobi problem \[ \left\{\begin{array} [c]{c}% u_{t}-νΔu+|\nabla u|^{q}=0, u(0)=u_{0}, \end{array} \right. \] in $Q_…
Isolated initial singularities for the viscous Hamilton-Jacobi equation
Marie-Françoise Bidaut-Véron, Nguyen Anh Dao
Here we study the nonnegative solutions of the viscous Hamilton-Jacobi equation [u_{t}-Δu+|\nabla u|^{q}=0] in where and is a smo…