Research output: Contribution to journal › Article › peer-review
Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients. / Demidenko, G. V.
In: Computational Mathematics and Mathematical Physics, Vol. 64, No. 8, 26.09.2024, p. 1755-1764.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients
AU - Demidenko, G. V.
PY - 2024/9/26
Y1 - 2024/9/26
N2 - A class of fourth-order strictly pseudohyperbolic operators with variable coefficients is considered. Energy estimates are established under certain conditions on the coefficients. These estimates imply the uniqueness of the solution to the Cauchy problem and a priori estimates.
AB - A class of fourth-order strictly pseudohyperbolic operators with variable coefficients is considered. Energy estimates are established under certain conditions on the coefficients. These estimates imply the uniqueness of the solution to the Cauchy problem and a priori estimates.
KW - energy estimates
KW - equations unsolved with respect to the highest order derivative
KW - pseudohyperbolic operators
KW - weighted Sobolev spaces
UR - https://www.mendeley.com/catalogue/58b5b57e-d4db-3e59-bdfe-8c5793301bd2/
UR - http://scopus.com/record/display.uri?eid=2-s2.0-85205371507&origin=inward&txGid=186df39f50f856b67c4f4dc1453fa8f0
U2 - 10.1134/S0965542524700805
DO - 10.1134/S0965542524700805
M3 - Article
VL - 64
SP - 1755
EP - 1764
JO - Computational Mathematics and Mathematical Physics
JF - Computational Mathematics and Mathematical Physics
SN - 0965-5425
IS - 8
ER -
ID: 60817746