Dat T. Cao

Postdoctoral Research Associate
Department of Mathematics and Statistics
Texas Tech University
Box 41042
Lubbock, TX 79409-1042
Office: MA 205
Email: dat.cao [at] ttu [dot] edu

Here is my CV.


Research Interests


  1. Dat Cao and Luan Hoang, Asymptotic expansions in a general system of decaying functions for solutions of the Navier-Stokes equations, 54 pp, submitted, arXiv.
  2. Dat Cao and Luan Hoang, Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces, Proc. Roy. Soc. Edinburgh Sect. A, 38 pp, in press, DOI:10.1017/prm.2018.154 || arXiv.
  3. Dat Cao, Tadele Mengesha, and Tuoc Phan, Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients, AMS Contemporary Mathematics, 21 pp, in press, preprint.
  4. Dat Cao, Tadele Mengesha, and Tuoc Phan, Weighted W^{1,p} estimates for weak solutions of degenerate and singular elliptic equations, Indiana Univ. Math. J., 67 No. 6 (2018), 2225-2277, journal article || arXiv.
  5. Dat Cao, Akif Ibragimov, and Alexander I. Nazarov, Mixed boundary value problems for non-divergence type elliptic equations in unbounded domains, Asymptot. Anal., 109 (2018), 75-90, journal article || arXiv.
  6. Dat Cao and Igor Verbitsky, Nonlinear elliptic equations and intrinsic potentials of Wolff type, J. Funct. Anal., 272 (2017), 112-165, journal article || arXiv.
  7. Dat Cao and Igor Verbitsky, Pointwise estimates of Brezis-Kamin type for solutions of sublinear elliptic equations, Nonlinear Anal., 146 (2016), 1-19, journal article || arXiv.
  8. Dat Cao and Igor Verbitsky, Finite energy solutions of quasilinear elliptic equations with sub-natural growth terms, Calc. Var. Partial Differential Equations, 52 (2015), 529-546, journal article || arXiv.

Work in progress


Collaborators: Luan Hoang, Akif Ibragimov, Tadele Mengesha, Alexander I. Nazarov, Tuoc Phan, Igor Verbitsky.