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
Link: https://cesnet.zoom.us/j/91015942151?pwd=dlF4ekVIUGFBRzdIVVUzbUp3MFNQdz09
Meeting ID: 910 1594 2151
Passcode: 051433
The recording of the lecture is available at: https://download.math.cas.cz/media/seminars/PDE/Necas_PDE_Seminar,_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.