Dr. Hayk Mikayelyan
Scientific Coordinator of the IMPRS Mathematics in the Sciences
Born 10.10.1977 in Yerevan (Armenia)
1994 Shahinian Phys.-Math. School, Yerevan
1999 Diploma in Mathematics, Yerevan State University
2003 PhD in Math. Analysis, University of Potsdam
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstraße 22
04103 Leipzig
Germany
Tel.: +49 341 9959 845
Fax: +49 341 9959 658
Email: hayk {guess what? :)} mis.mpg.de
Current:
Non-linear Analysis and Geometric PDE, Free Boundary Problems
Previous:
Pseudo-differetial Operators, Orthonormal Function Bases
Nonlinear analysis and Geometric PDE
15-24 June 2008, ARMENIA
Publications
- Weyl multipliers for unconditional convergence of series by a general Franklin system J. Contemp. Math. Anal. 33 (1998), no. 6, 76--80
- (with G. Gevorkyan) Unconditional and absolute almost everywhere convergence of series by the general Franklin system J. Contemp. Math. Anal. 34 (1999), no. 3, 10--25
- Asymptotic summation of operator-valued Volterra symbols J. Contemp. Math. Anal. 37 (2002), no. 3, 76--80
- (a joint appendix in the paper of R. Ponge) On the Asymptotic Completeness of the Volterra Calculus Journal d'Analyse Mathematique 94 (2004) 249--263
- Example of an infinity-harmonic function which is not $C^2$ on a dense subset Electron. J. Differential Equations 2005, no. 18, 5 pp. (electronic).
- (with J. Andersson und N. Matevosyan) On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem Arkiv för Matematik, 44 (2006), no. 1, 1-15
- (with J. Andersson) $C^{1,\alpha}$-regularity for solutions to the p-harmonic thin obstacle problem Int Math Res Notices (2011) Vol. 2011 119-134
- (with J. Andersson) On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem Mathematische Annalen DOI:10.1007/s00208-011-0647-2
- (with J. Andersson) Level set regularity for solutions of certain degenerated non-linear PDE and application to Bellman's problem Transactions of AMS
- (with H. Shahgholian) Convexity of the free boundary for an exterior free boundary problem involving the perimeter Journal of Nonlinear Analysis