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This article is cited in 24 scientific papers (total in 24 papers)
Solvability conditions of the Cauchy problem for pseudohyperbolic equations
G. V. Demidenkoab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We consider a class of strictly pseudohyperbolic equations with lower order terms. Energy estimates are obtained and solvability conditions of the Cauchy problem in Sobolev spaces with an exponential weight are established.
Keywords:
Sobolev-type equation, pseudohyperbolic equation, energy estimate.
Received: 17.06.2015
Citation:
G. V. Demidenko, “Solvability conditions of the Cauchy problem for pseudohyperbolic equations”, Sibirsk. Mat. Zh., 56:6 (2015), 1289–1303; Siberian Math. J., 56:6 (2015), 1028–1041
Linking options:
https://www.mathnet.ru/eng/smj2713 https://www.mathnet.ru/eng/smj/v56/i6/p1289
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Abstract page: | 441 | Full-text PDF : | 187 | References: | 75 | First page: | 20 |
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