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

** Teaching **

- Fall 2017: Math 2450-section 14: Calculus III with Applications
- Summer I 2017: Math 1452-section 102: Calculus II with Applications
- Spring 2017: Math 1452-section 102: Calculus II with Applications
- Fall 2016: Math 1451-section 16: Calculus I with Applications

** Research Interests **

- Partial Differential Equations, Nonlinear Potential Theory, Harmonic Analysis.

** Publications/Preprints **

- Dat Cao, Tadele Mengesha, and Tuoc Phan,
*Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients,*18pp, submitted. - 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.**, 36pp, accepted, arXiv. - Dat Cao and Igor Verbitsky,
*Nonlinear elliptic equations and intrinsic potentials of Wolff type,***J. Funct. Anal.,**272 (2017), 112-165, journal article || arXiv. - 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. - Cao T. Dat 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 **

- Weighted Sobolev spaces and applications (with Luan Hoang), in preparation.
- Mixed boundary value problems (with Akif Ibragimov), in preparation.
- Regularity for degenerate equations (with Tuoc Phan and Tadele Mengesha), in preparation.

** Conferences/Seminars **

- Joint Analysis and Applied Math Seminar, Texas Tech University, November 8, 2017.
- Fall Central Sectional Meeting, Special Session on Integrable Systems and Applications, University of North Texas, Denton, TX, September 9-10, 2017.
- West Texas Applied Math Graduate Minisymposium,Texas Tech University, Friday, 28 April, 2017.
- Analysis Seminar, Texas Tech University, March 27 and April 5, 2017.
- 2017 Joint Mathematics Meetings, Atlanta, GA, January 4-7, 2017.
- Applied Math Seminar, Texas Tech University, September 28, 2016.
- Colloquium, Department of Mathematics and Statistics, Texas Tech University, August 3, 2016.
- 46th Annual John H. Barrett Memorial Lectures, The University of Tennessee, May 16-18, 2016.
- AMS Southeastern Sectional Meeting, Special Session on Sharp estimates and Bellman functions in Harmonic Analysis, University of Georgia in Athens, GA, March 5-6, 2016.
- The 35th Southeastern Atlantic Regional Conference on Differential Equations, University of North Carolina at Greensboro, October 10-11, 2015.
- Differential Equations Seminar, University of Tennessee, September 17 and 24, 2015.
- CBMS Regional Conference in the Mathematical Sciences - Reflectionless measures, Wolff’s potentials, and rectifiability, North Dakota State University, July 27-31, 2015.
- Spring Southeastern Sectional Meeting, Special Session on Analysis on Nonlinear Integral and Partial Differential Equations, University of Alabama in Huntsville, March 27-29, 2015.
- The Fifth Ohio River Analysis Meeting, University of Cincinnati, Cincinnati, Ohio, February 28 - March 1, 2015.
- 2015 Joint Mathematics Meetings, San Antonio, TX, January 10-13, 2015.

** Collaborators: **
Luan Hoang, Akif Ibragimov, Tadele Mengesha, Tuoc Phan, Igor Verbitsky.

** Links: **