Conference on Partial Differential Equations and Applications
in Memory of Professor B.Yu. Sternin
November 6–9, 2018, Moscow, Russia
My Research Monograph
My Research Monograph
Microlocal Analysis, Sharp Spectral Asymptotics and Applications
Updated! Added article
Complete semiclassical spectral asymptotics for periodic and almost periodic perturbations of constant operators
APM 346 Partial Differential Equations @Spring 2019
I am teaching LEC 0201 section of APM 346 Partial Differential Equations
- Monday 14:00 — 15:00, BA 1180
- Thursday 13:00 — 15:00, LM 162
There is another section LEC 0101, taught by a different instructor (I know his name but I am not going to announce it until it appears on the official timetable).
Details about this course will be provided on the class official page in the due time.
MAT 334 Complex Variables @Fall 2018
I am teaching LEC 0101 section of MAT 334 Complex Variables
- Monday 10:00 — 11:00, BA 1160
- Wednesday 10:00 — 11:00, BA 1160
- Friday 10:00 — 11:00, BA 11602
There are another sections LEC 0201 and LEC 5101, taught by different instructors (I know their names but I am not going to announce them until it appears on the official timetable).
I am the class coordinator. The content, tests and exam for all sections are exactly the same.
Details about this course are provided on the class official page.
MAT 244 Introduction to Ordinary Differential Equations @Fall 2018
I am teaching LEC 5101 section of MAT 334 Introduction to Ordinary Differential Equations
- Tuesday 18:00 — 20:00, MP 102
- Thursday 18:00 — 19:00, MP 102
There are three other sections LEC 0101, LEC 0201 and LEC 5201, taught by three other instructors. I am the class coordinator. The content, tests and exam for all sections are exactly the same.
Textbook:
- William E. Boyce, Richard C. DiPrima, Douglas B. Meade. Elementary Differential Equations and Boundary Value Problems, Enhanced eText, 11th Edition; ISBN: 978-1-119-38164-8
- William E. Boyce, Richard C. DiPrima. Elementary Differential Equations and Boundary Value Problems, 10th Edition; ISBN: 978-1-118-54394-8
We support both editions but 11th is preferable.
Details about this course are provided on the class official page.
Sternin’s Conference on Partial Differential Equations
10th St. Petersburg Conference in Spectral Theory
10th St. Petersburg Conference in Spectral Theory
dedicated to the memory of M. Sh. Birman
9 – 12 June, 2018 Euler Institute, St. Petersburg, Russia
My Monsterbook final version
My talk at Analysis Seminar (McGill University University, January 26, 2018)
Spectral asymptotic for Steklov’s problem in domains with edges (work in progress)
We derive sharp eigenvalue asymptotics for Dirichlet-to-Neumann operator in the domain with edges and discuss obstacles for deriving a sharper (two-term) asymptotics
Aftermath
My Research Monograph is almost ready (in January I plan to edit Introduction, Preface and add some references, after which I pronounce it “Done” and I am not going to add any new material, at least for several years).
Meanwhile I started several new topics:
- Asymptotics of the ground state energy for relativistic heavy atoms and molecules, see Paper at arXiv: 1708.07737 and Presentation.
- Spectral asymptotic for Steklov’s problem in domains with edges, the paper is in progress, see Presentation.