Hilbert's twentieth problem [SEP] named after
Hilbert's twentieth problem
Hilbert's twentieth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It asks whether all boundary value problems can be solved (that is, do variational problems with certain boundary conditions have solutions).
Introduction.
Hilbert noted that there existed methods for solving partial differential equations where the function's values were given at the boundary, but the problem asked for methods for solving partial differential equations with more complicated conditions on the boundary (e.g.
a Ph.D. in 1960 from the same university, under the supervision of Olga Ladyzhenskaya, and completed her D.Sc. (the Soviet equivalent of a habilitation) in 1964. She joined the faculty of Leningrad State University in 1959, and was promoted to professor in 1968 and department head in 1974.
Uraltseva's research on Hilbert's nineteenth problem and Hilbert's twentieth problem led to her recognition in 1967 by the Chebyshev Prize of the USSR Academy of Sciences, and in 1969 by the USSR State Prize. Uraltseva was a speaker