<b>Quasilinear evolution equations of the third order</b> - doi: 10.5269/bspm.v25i1-2.7428

  • Andrei V. Faminskii Peoples' Friendship University of Russia
Keywords: quasilinear dispersive equations, Korteweg de Vries equation, boundary value problems, well-posedness.

Abstract

The present paper is a survey concerned with certain aspects of solvability and well-posedness of initial and initial-boundary value problems for various quasilinear evolution equations of the third order. This class includes, for example, Korteweg - de Vries (KdV) and Zakharov - Kuznetsov (ZK) equations.

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