6 papers
Weak local Gagliardo-Nirenberg type inequalities with a BMO term
Dung Le
An improvement of a global Gagliardo-Nienberg inequality with a BMO term is established.
On the smallness of mean oscillations on metric-measure spaces and applications
Dung Le
It will be established that the mean oscillation of a function on a metric-measure space will be small if its mean oscillation on is small and some simple informati…
Global Existence to a Class of Triangular Block Matrix Cross Diffusion Systems and the Spectral Gap Condition
Dung Le
We study the global existence of classical solutions to cross diffusion systems of equations on -dimensional domains (). The diffusion matrix is a triangular block…
Regularity of Solutions to a Class of Degenerate Cross Diffusion Systems of Equations
Dung Le
We study the regularity of weak solutions and the global existence of classical to cross-diffusion systems of equations on -dimensional domains ().
Rate of convergence in the Smoluchowski-Kramers approximation for mean-field stochastic differential equations
T. C. Son, D. Q. Le, M. H. Duong
In this paper we study a second-order mean-field stochastic differential systems describing the movement of a particle under the influence of a time-dependent force, a friction, a…
Thom condition and Monodromy
R. Giménez Conejero, Lê Dũng Tráng, J. J. Nuño-Ballesteros
We give the definition of the Thom condition and we show that given any germ of complex analytic function on a complex analytic space , there exists a…