Mohammad Safdari

Email: safdari [at] sharif [dot] ir

Research

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

7. Fully nonlinear elliptic equations with non-strictly convex gradient constraints, and fully nonlinear double obstacle problems, submitted  arXiv:1907.04683

6. Global optimal regularity for variational problems with nonsmooth non-strictly convex gradient constraints, submitted  arXiv:1807.01590

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

4. The regularity of some vector-valued variational inequalities with gradient constraints, Comm. Pure Appl. Anal., 17(2):413-428, 2018.  arXiv:1501.05339

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

2. The free boundary of variational inequalities with gradient constraints, Nonlinear Anal. Theory Methods Appl., 123-124:1-22, 2015.  arXiv:1501.05337

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