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On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces. / Bondar, L. N.; Demidenko, G. V.
в: Siberian Mathematical Journal, Том 64, № 5, 09.2023, стр. 1076-1090.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces
AU - Bondar, L. N.
AU - Demidenko, G. V.
N1 - The research was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0008). Публикация для корректировки.
PY - 2023/9
Y1 - 2023/9
N2 - We consider a class of strictly pseudohyperbolic equationsand establish some solvability conditions ofthe Cauchy problem in the class of weighted Sobolev spaces.We also prove the uniqueness of solutions and obtain some estimates.
AB - We consider a class of strictly pseudohyperbolic equationsand establish some solvability conditions ofthe Cauchy problem in the class of weighted Sobolev spaces.We also prove the uniqueness of solutions and obtain some estimates.
KW - 517.955
KW - energy estimate
KW - equations that are not solved with respect to the higher-order derivative
KW - pseudohyperbolic equations
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85174730523&origin=inward&txGid=40220665bc09c245a2c27e27b262da8c
UR - https://www.mendeley.com/catalogue/1614b9c0-3bfd-3d99-87f8-327f92a19e14/
U2 - 10.1134/S0037446623050026
DO - 10.1134/S0037446623050026
M3 - Article
VL - 64
SP - 1076
EP - 1090
JO - Siberian Mathematical Journal
JF - Siberian Mathematical Journal
SN - 0037-4466
IS - 5
ER -
ID: 59280709