5 papers
Weighted -estimates for Parabolic Equations of Fabes-Kenig-Seraponi singular-degenerate type
Tuoc Phan
We investigate Dirichlet boundary value problems for a class of second-order parabolic equations in divergence-form with coefficient matrices that exhibit singular and degenerate b…
On -estimates for a class of singular-degenerate parabolic equations
Junyuan Fang, Tuoc Phan
We study a class of parabolic equations in non-divergence form with measurable coefficients that exhibit singular and/or degenerate behavior governed by weights in the $A_{1+\frac{…
Well-posedness for a class of parabolic equations with singular-degenerate coefficients
Junyuan Fang, Tuoc Phan
This paper studies a class of linear parabolic equations with measurable coefficients in divergence form whose volumetric heat capacity coefficients are assumed to be in some Mucke…
An inviscid limit problem for Navier-Stokes equations in 3D domains with oscillatory boundaries
Tuoc Phan, Dario A. Valdebenito
We study an inviscid limit problem for a class of Navier-Stokes equations with vanishing measurable viscous coefficients in 3-dimensional spatial domains whose boundaries are oscil…
Harnack inequality for singular or degenerate parabolic equations in non-divergence form
Sungwon Cho, Junyuan Fang, Tuoc Phan
This paper studies a class of linear parabolic equations in non-divergence form in which the leading coefficients are measurable and they can be singular or degenerate as a weight…