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Seminar on partial differential equations

One-dimensional differential operators with distributions in coefficients

Volodymyr Mikhailets
Institute of Mathematics, CAS


Tuesday, 14. March 2023 - 9:00 to 10:00

in IM, rear building, ground floor and on Zoom
Meeting ID:    910 1594 2151
Passcode:    051433

The recording of the lecture is available at:,_March_14,_2023.mp4

Some classes of linear ordinary differential operators with strongly singular coefficients are studied in the talk. These operators are introduced as quasi-differential according to Shin-Zettl. Their domains may not contain non-zero smooth functions. The case of self-adjoint Schrödinger and Hill operators on the line is investigated in more detail.