Ariel Barton's Homepage

I have moved! Visit me at the University of Missouri.

Contact Info

Email: abarton@math.umn.edu

Research Interests

Partial Differential Equations
Harmonic Analysis

Courses

(Spring 2013) MATH 5588 (Elementary Partial Differential Equations II), TuTh 4:45-6:00, VinH 2
(Fall 2012) MATH 1371 (CSE Calculus I), Section 40
(Fall 2012) MATH 5587 (Elementary Partial Differential Equations I), Section 2 (TuTh 4:40-6:05, VinH 20)
(Spring 2012) MATH 4567 (Applied Fourier Analysis)
(Fall 2011) MATH 1371 (CSE Calculus I), Sections 20 and 40

Papers and preprints

“Elliptic partial differential equations with almost-real coefficients” (PDF file). Mem. Amer. Math. Soc. 223 (2013), no. 1051. 108 pages, 5 figures.

(with Svitlana Mayboroda) “The Dirichlet problem for higher order equations in composition form” (PDF file). J. Funct. Anal. 265 (2013), no. 1, pp. 49–107.

(with Svitlana Mayboroda) “Boundary-value problems for higher-order elliptic equations in non-smooth domains” (PDF file), to appear, Proceedings of the IWOTA. 41 pages.

(with Lesley Ward) “A new class of harmonic measure distribution functions” (PDF file), to appear, J. Geom. Anal. 33 pages, 7 figures.

“The Dirichlet problem with BMO boundary data and almost-real coefficients” (PDF file), submitted. 29 pages.

(with Svitlana Mayboroda) “Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces” (PDF file), submitted. 109 pages, 17 figures. There is also a version with colored figures.


My dissertation, “Elliptic partial differential equations with complex coefficients” (PDF file)

Documents

My curriculum vita (PDF file)
Exam timer

Links

School of Mathematics
Institute of Technology
University of Minnesota

Last Modified Tuesday February 12, 2013
The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.