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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2018 Volume 59, Number 5, Pages 998–1012 (Mi smj3025)

This article is cited in 1 paper

Asymptotic behavior at infinity of solutions to the nonhomogeneous Sobolev equation

L. N. Bondarab, G. V. Demidenkoab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: Under study is the asymptotic behavior at infinity of solutions to the Cauchy problem to the nonhomogeneous Sobolev equation. We obtain the form of the limit function and the convergence rate.

Keywords: Sobolev equation, Cauchy problem, asymptotic behavior at infinity.

UDC: 517.955.8

MSC: 35R30

Received: 23.05.2018

DOI: 10.17377/smzh.2018.59.505


 English version:
Siberian Mathematical Journal, 2018, 59:5, 786–798

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© Steklov Math. Inst. of RAS, 2024