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Matematicheskie Zametki, 1996, Volume 59, Issue 6, Pages 855–864
DOI: https://doi.org/10.4213/mzm1784
(Mi mzm1784)
 

This article is cited in 12 scientific papers (total in 12 papers)

Asymptotics as t of the solutions of nonlinear equations with nonsmall initial perturbations

P. I. Naumkin, I. A. Shishmarev

M. V. Lomonosov Moscow State University
References:
Abstract: A new method is proposed for finding asymptotics as t of the solutions of the Cauchy problem for nonlinear evolution equations with nonsmall initial data.
Received: 12.05.1995
English version:
Mathematical Notes, 1996, Volume 59, Issue 6, Pages 618–624
DOI: https://doi.org/10.1007/BF02307211
Bibliographic databases:
UDC: 517.9+535.5
Language: Russian
Citation: P. I. Naumkin, I. A. Shishmarev, “Asymptotics as t of the solutions of nonlinear equations with nonsmall initial perturbations”, Mat. Zametki, 59:6 (1996), 855–864; Math. Notes, 59:6 (1996), 618–624
Citation in format AMSBIB
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\by P.~I.~Naumkin, I.~A.~Shishmarev
\paper Asymptotics as $t\to\infty$ of the solutions of nonlinear equations with nonsmall initial perturbations
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 6
\pages 855--864
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\crossref{https://doi.org/10.4213/mzm1784}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1445471}
\zmath{https://zbmath.org/?q=an:0881.35016}
\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 6
\pages 618--624
\crossref{https://doi.org/10.1007/BF02307211}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VM73200026}
Linking options:
  • https://www.mathnet.ru/eng/mzm1784
  • https://doi.org/10.4213/mzm1784
  • https://www.mathnet.ru/eng/mzm/v59/i6/p855
  • This publication is cited in the following 12 articles:
    1. Blow-up in Nonlinear Sobolev Type Equations, 2011, 621  crossref
    2. M. O. Korpusov, A. G. Sveshnikov, “Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type”, J Math Sci, 148:1 (2008), 1  crossref
    3. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “On the Cauchy problem for nonlinear dissipative systems”, J Math Sci, 142:3 (2007), 2113  crossref
    4. Hayashi, N, “Asymptotics for dissipative nonlinear equations - Preliminary results”, Asymptotics For Dissipative Nonlinear Equations, 1884 (2006), 1  crossref  isi
    5. Kaikina, EI, “Landau-Ginzburg-type equations on the half-line in the critical case”, Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 135 (2005), 1241  crossref  mathscinet  zmath  isi  scopus  scopus
    6. Kaikina E.I., “Nonlinear Pseudodifferential Equations on a Segment”, Differ. Integral Equ., 18:2 (2005), 195–224  mathscinet  zmath  isi
    7. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotics of solutions of non-linear dissipative equations”, Izv. Math., 68:3 (2004), 461–492  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. Kaikina, EI, “Nonlinear nonlocal Whitham equation on a segment”, Nonlinear Analysis-Theory Methods & Applications, 59:1–2 (2004), 55  crossref  mathscinet  zmath  isi  scopus  scopus
    9. Kaikina, EI, “On the asymptotic behavior of solutions to nonlinear dissipative systems of equations”, Doklady Mathematics, 68:1 (2003), 49  mathscinet  zmath  isi
    10. M. O. Korpusov, “Global solvability of an initial-boundary value problem for a system of semilinear equations”, Comput. Math. Math. Phys., 42:7 (2002), 1000–1011  mathnet  mathscinet  zmath
    11. I. A. Shishmarev, M. Tsutsumi, “Large time asymptotic behaviour of solutions of the complex Landau–Ginzburg equation”, Sb. Math., 190:4 (1999), 569–588  mathnet  crossref  crossref  mathscinet  zmath  isi
    12. Shishmarev, IA, “Asymptotics in time for nonlinear nonlocal Shrodinger equations with a source”, Journal of the Mathematical Society of Japan, 51:2 (1999), 463  crossref  mathscinet  zmath  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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