Speciality:
01.01.03 (Mathematical physics)
Birth date:
08.10.1958
E-mail: ,
Keywords: asymptotic techniques; pseudodifferential operators with discontinuous symbols; singular integral equations; nonlinear equations of mathematical physics; spectral theory.
Main publications:
Budylin A. M., Buslaev V. S. Reflection operators and their applications to asymptotic investigations of semiclassical integral equations // Adv. Soviet Math. V. 7. Providence, RI: AMS, 1991, 107–157.
Budylin A. M., Buslaev V. S. Semiclassical asymptotics of the resolvent of the integral convolution operator with the sine-kernel on a finite interval // St. Petersburg Math. J., 1996, 7(6), 925–942.
Budylin A. M., Buslaev V. S. The Gelfand–Levitan–Marchenko equation and the long-time asymptotics of solutions of the nonlinear Schr{\"o}dinger equation // St. Petersburg Math. J., 2001, 12(5).