28 citations · 87 across the 41 of their papers we have counts for
56 papers
Lyapunov functions for linear damped wave equations in one-dimensional space with dynamic boundary conditions
Yacine Chitour, Hoai-Minh Nguyen, Christophe Roman
We establish the exponential decay of the solutions of the damped wave equations in one-dimensional space where the damping coefficient is a nowhere-vanishing function of space. Th…
Local controllability of the Korteweg-de Vries equation with the right Dirichlet control
Hoai-Minh Nguyen
The Korteweg-de Vries (KdV) equation with the right Dirichlet control was initially investigated more than twenty years ago. It was shown that this system is small time, locally, e…
Exponential decay of solutions of damped wave equations in one dimensional space in the framework for various boundary conditions
Yacine Chitour, Hoai-Minh Nguyen
We establish the decay of the solutions of the damped wave equations in one dimensional space for the Dirichlet, Neumann, and dynamic boundary conditions where the damping coeffici…
The Caffarelli-Kohn-Nirenberg Inequalities For Radial Functions
Arka Mallick, Hoai-minh Nguyen
We establish the full range of the Caffarelli-Kohn-Nirenberg inequalities for radial functions in the Sobolev and the fractional Sobolev spaces of order . In particula…
Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Sobolev-Coulomb spaces
Arka Mallick, Hoai-Minh Nguyen
We establish the full range Gagliardo-Nirenberg and the Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Sobolev-Coulomb spaces for the (fractional) derivative…
The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations
Jean Fornerod, Hoai-Minh Nguyen
Cakoni and Nguyen recently proposed very general conditions on the coefficients of Maxwell equations for which they established the discreteness of the set of eigenvalues of the tr…