[nguyen]

Assistant professor, ShanghaiTech University, Shanghai, China.

**Email:** *qhnguyen1241988 AT icloud.com*

**Home-page:** https://nguyenquochung1241.wixsite.com/qhung

**arxiv id:** arXiv:1705.08136v1

- T. Alazard - Q. H. Nguyen (Accepted Paper:
*Annals of PDE*)

On the Cauchy problem for the Muskat equation. II: Critical initial data (2021) - Q. H. Nguyen (Accepted Paper:
*Memoris of the AMS*)

Potential estimates and quasilinear parabolic equations with measure data (2021) - Q. H. Nguyen - C. P. Nguyen (Accepted Paper:
*Analysis and PDEs*)

Existence and regularity estimates for quasilinear equations with measure data: the case $1(2021)

- T. Alazard - O. Lazar - Q. H. Nguyen (Submitted Paper)

On the dynamics of the roots of polynomials under differentiation (2021) - K. Chen - Q. H. Nguyen (Submitted Paper)

The Peskin problem with $\dot B^1_{\infty,\infty}$ initial data (2021) - T. Alazard - Q. H. Nguyen (Accepted Paper:
*Com. PDE*)

On the Cauchy problem for the Muskat equation with non-Lipschitz initial data (2020) - Q. H. Nguyen - T. Alazard (Submitted Paper)

Endpoint Sobolev theory for the Muskat equation (2020) - H. M. Nguyen - Q. H. Nguyen (Submitted Paper)

The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions (2020) - E. Bruè - Q. H. Nguyen (
*Communications in Mathematical Physics*)

Advection diffusion equations with Sobolev velocity field (2020) - Q. H. Nguyen - C. P. Nguyen (Accepted Paper:
*Journal of Functional Analysis*)

Pointwise gradient estimates for a class of singular quasilinear equation with measure data (2019) - E. Bruè - Q. H. Nguyen (
*Mathematische Annalen*)

Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts (2019) - E. Bruè - Q. H. Nguyen - G. Stefani (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

A maximal function characterization of absolutely continuous measures and Sobolev functions (2019) - Q. H. Nguyen - J. L. Vazquez (Accepted Paper:
*COM.PDE*)

Porous medium equation with nonlocal pressure in a bounded domain (2018) - Q. H. Nguyen - M. F. Bidaut-Véron - L. Véron (Submitted Paper)

Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data (2018) - N. A. Dao - Q. H. Nguyen (
*Comptes Rendus Mathematique*)

Brezis-Gallouet-Wainger type inequality with critical fractional Sobolev space and BMO (2018) - Q. H. Nguyen - P. T. NGUYEN (
*Journal of Nonlinear Science.*)

Onsager's conjecture on the energy convervation for solutions of Euler's equation in bounded domains (2018) - Q. H. Nguyen - P. T. NGUYEN - Q. B. TANG (Submitted Paper)

Energy conservation for inhomogeneous incompressible and compressible Euler equations (2018) - Q. H. Nguyen - P. T. NGUYEN - Q. B. TANG (Accepted Paper:
*Nonlinearity*)

Energy equalities for compressible Navier-Stokes equations (2018) - E. Bruè - Q. H. Nguyen (
*Analysis and PDE*)

Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields (2018) - Q. H. Nguyen - C. P. Nguyen (Accepted Paper:
*Math. Ann.*)

Good-$\lambda$ and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications (2018) - Q. H. Nguyen (Accepted Paper:
*Comm. Pure Appl. Math.*)

Quantitative estimates for regular Lagrangian flows with $BV$ vector fields (2018) - E. Bruè - Q. H. Nguyen (
*Advances in Nonlinear Analysis*)

On the Sobolev space of functions with derivative of logarithmic order (2018) - H. M. Nguyen - Q. H. Nguyen (
*Calculus of Variations and Partial Differential Equations*)

Discreteness of interior transmission eigenvalues revisited (2017) - N. A. Dao - Q. H. Nguyen (
*Comptes Rendus Mathematique*)

Nonstationary Navier–Stokes equations with singular time-dependent external forces (2017) - M. F. Véron - Q. H. Nguyen - L. Véron (Accepted Paper:
*Potential Analysis*)

Quasilinear and Hessian Lane-Emden type systems with measure data (2017) - Q. H. Nguyen - L. Véron (
*J. Differential Equations*)

Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain (2016) - M. F. Bidaut-Véron - Q. H. Nguyen (
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

Pointwise estimates and existence of solutions of porous medium and p-Laplace evolution equations with absorption and measure data (2016) - Q. H. Nguyen - L. Véron (
*Potential Analysis*)

Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption (2015) - M. F. Bidaut-Véron - Q. H. Nguyen (
*JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY*)

Stability properties for quasilinear parabolic equations with measure data (2015) - M. F. Bidaut-Véron - G. Hoang - Q. H. Nguyen - L. Véron (
*Journal of Functional Analysis*)

An elliptic semilinear equation with source term and boundary measure data: the supercritical case (2015) - M. F. Bidaut-Véron - Q. H. Nguyen (
*Communications in Contemporary Mathematics*)

Evolution equations of $p$-Laplace type with absorption or source terms and measure data (2015) - Q. H. Nguyen (
*CV PDE*)

Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data (2015) - Q. H. Nguyen - L. Véron - M. F. Bidaut-Véron (
*Journal de Mathématiques Pures et Appliquées*)

Quasilinear Lane-Emden equations with absorption and measure data (2014) - Q. H. Nguyen - L. Véron (
*Archive for Rational Mechanics and Analysis*)

Quasilinear and Hessian type equations with exponential reaction and measure data (2014)