Arshak Petrosyan
Mathematics · Purdue University West Lafayette
Publications
87
Citations
1,246
Est. group size
—
Recurring co-author estimate
Active years
26
Publishing since 1999
Arshak Petrosyan works in mathematical analysis, focusing on partial differential equations (mathematical descriptions of how quantities change over space and time) and especially 'obstacle problems,' where a function is constrained to stay above or below some barrier. Much of the work studies the shape and smoothness of the boundary between regions where the constraint is active or inactive, including versions involving fractional derivatives (a generalization of ordinary calculus) and time-dependent (parabolic) settings. This research is theoretical, aimed at proving precise mathematical properties of solutions to these equations.
Publication output has fluctuated over the past decade with a peak in 2019 and generally modest, steady numbers of 1-3 papers per year since then.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Almost minimizers for the thin obstacle problem with variable coefficients
Interfaces and Free Boundaries Mathematical Analysis Computation and Applications · 2024
- Free boundary regularity for almost minimizers of the parabolic Signorini problem
arXiv (Cornell University) · 2024
- The obstacle problem for a higher order fractional Laplacian
Calculus of Variations and Partial Differential Equations · 2023
- Regularity of almost minimizers for the parabolic thin obstacle problem
Nonlinear Analysis · 2023
- The obstacle problem for a higher order fractional Laplacian
arXiv (Cornell University) · 2023
- Nina Nikolaevna Uraltseva
Notices of the American Mathematical Society · 2022
- Regularity of almost minimizers for the parabolic thin obstacle problem
arXiv (Cornell University) · 2022
- THE REGULAR FREE BOUNDARY IN THE THIN OBSTACLE PROBLEM FOR DEGENERATE PARABOLIC EQUATIONS
Padua Research Archive (University of Padova) · 2021
- Almost minimizers for the thin obstacle problem
Calculus of Variations and Partial Differential Equations · 2021
- Almost minimizers for certain fractional variational problems
St Petersburg Mathematical Journal · 2021
- The structure of the singular set in the thin obstacle problem for degenerate parabolic equations
Calculus of Variations and Partial Differential Equations · 2021
- The regular free boundary in the thin obstacle problem for degenerate parabolic equations
St Petersburg Mathematical Journal · 2021
- Nina Nikolaevna Uraltseva
arXiv (Cornell University) · 2021
- Almost minimizers for the thin obstacle problem with variable coefficients
arXiv (Cornell University) · 2020
- On the Derivatives of Cauchy-Type Integrals in the Polydisk
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) · 2020
- arXiv (Cornell University)×9
- Calculus of Variations and Partial Differential Equations×3
- St Petersburg Mathematical Journal×3
- Contemporary mathematics - American Mathematical Society×2
- Nonlinear Analysis×2
- Zhiyuan Geng
Mathematics · Purdue University West Lafayette
- Yuan Gao
Mathematics · Purdue University West Lafayette
- Lawford Hatcher
Mathematics · Indiana University
- Avner Friedman
Computer Science · The Ohio State University
- Peter Sternberg
Computer Science · Indiana University
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
Claim or correct this profile