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JOURNALS // Russian Universities Reports. Mathematics // Archive
Russian Universities Reports. Mathematics, 2019 Volume 24, Issue 125, Pages 99–111 (Mi vtamu101)
Scientific articles

Decay of the solutions of the generalized Korteweg–de Vries equation at large times

A. A. Nikolayev

RUDN University

Abstract: In this paper the existence of weak solutions of the nonlinear generalized KdV equation is shown and conditions for which weak solutions decay to zero at large times are obtained.

Keywords: Korteweg–de Vries equation; initial-boundary problem; weak solution; decay.

UDC: 517.957.6

Received: 10.01.2019

DOI: 10.20310/1810-0198-2019-24-125-99-111



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© Steklov Math. Inst. of RAS, 2024