Email: safdari [at] sharif [dot] ir

Email: safdari [at] sharif [dot] ir

I am an Assistant Professor in the Department of Mathematical Sciences at Sharif University of Technology. I completed my Ph.D. under the supervision of L. C. Evans and N. Reshetikhin at University of California, Berkeley. Before that, I received my BSc and MSc degrees in Mathematics, here at Sharif University.

My research is mainly about nonlinear partial differential equations, and free boundary problems. I am also interested in mathematical and theoretical aspects of Physics.

Here are links to my CV and my Google Scholar page.

Publications

9. Nonlocal equations with gradient constraints, 31 pages, submitted. arXiv:2106.02653

8. Nonlocal fully nonlinear double obstacle problems, 15 pages, submitted. arXiv:2105.09417

7. Double obstacle problems and fully nonlinear PDE with non-strictly convex gradient constraints, *J. Differ. Equ.*, 278:358–392, 2021. arXiv:1907.04683 DOI

6. Global optimal regularity for variational problems with nonsmooth non-strictly convex gradient constraints, *J. Differ. Equ.*, 279:76–135, 2021. arXiv:1807.01590 DOI

5. The distance function from the boundary of a domain with corners, *Nonlinear Anal.*, 181:294–310, 2019. arXiv:1602.03425 DOI

4. An example of non-embeddability of the Ricci flow, *Ann. Global Anal. Geom.*, 55(4):681–685, 2019. arXiv:1408.2259 DOI

3. The regularity of some vector-valued variational inequalities with gradient constraints, *Commun. Pure Appl. Anal.*, 17(2):413–428, 2018. arXiv:1501.05339 DOI

2. On the shape of the free boundary of variational inequalities with gradient constraints, *Interfaces Free Bound.*, 19(2):183–200, 2017. arXiv:1508.02026 DOI

1. The free boundary of variational inequalities with gradient constraints, *Nonlinear Anal.*, 123-124:1–22, 2015. arXiv:1501.05337 DOI