On the absence of global solutions of the Korteweg-de Vries equation

DOI10.1007/s10958-013-1250-8zbMath1276.35134OpenAlexW2041178504MaRDI QIDQ384483

Pohozaev, Stanislav I.

Publication date: 27 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1250-8

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Preventing blow up by convective terms in dissipative PDE's ⋮ Several sufficient conditions on the absence of global solutions of the fifth-order KdV equations with \(L^1(\mathbb{R})\) initial data ⋮ Solution blowup for systems of shallow-water equations ⋮ Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis

Cites Work

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• The large-time development of the solution to an initial-boundary value problem for the Korteweg-de Vries equation. I: Steady state solutions
• Explicit soliton asymptotics for the Korteweg–de Vries equation on the half-line
• An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
• An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval

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