33 citations · 115 across the 25 of their papers we have counts for
5 papers · 2 filters
On the regularization of solution of an inverse ultraparabolic equation associated with perturbed final data
Vo Anh Khoa, Le Trong Lan, Nguyen Huy Tuan +1
In this paper, we study the inverse problem for a class of abstract ultraparabolic equations which is well-known to be ill-posed. We employ some elementary results of semi-group th…
A numerical approach to approximation for an ultraparabolic equation
Vo Anh Khoa, Le Trong Lan, Nguyen Thi Yen Ngoc +1
We study the following ultraparabolic equation \[ \frac{\partial}{\partial t}u\left(t,s\right)+\frac{\partial}{\partial s}u\left(t,s\right)+\mathcal{L}u\left(t,s\right)=f\left(u\le…
Approximation of mild solutions of the linear and nonlinear elliptic equations
Nguyen Huy Tuan, Dang Duc Trong, Le Duc Thang +1
In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u…
A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source
Nguyen Huy Tuan, Le Duc Thang, Vo Anh Khoa
The paper is devoted to investigating a Cauchy problem for nonlinear elliptic PDEs in the abstract Hilbert space. The problem is hardly solved by computation since it is severely i…
Reconstruction of the electric field of the Helmholtz equation in 3D
Huy Tuan Nguyen, Vo Anh Khoa, Mach Nguyet Minh +1
In this paper, we rigorously investigate the truncation method for the Cauchy problem of Helmholtz equations which is widely used to model propagation phenomena in physical applica…