Blow-up of smooth solutions of the Korteweg-de Vries equation

DOI10.1016/J.NA.2011.08.021zbMath1246.35182OpenAlexW2011108516MaRDI QIDQ435888

Pohozaev, Stanislav I.

Publication date: 12 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.08.021

zbMATH Keywords

nonlinear capacityboundary value problemsblow-upKdV equationthe Cauchy probleminitial

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44)

Related Items (6)

Global unsolvability of one-dimensional problems for Burgers-type equations ⋮ Gradient blow-up in generalized Burgers and Boussinesq equations ⋮ Global unsolvability of a nonlinear conductor model in the quasistationary approximation ⋮ Blowing-up solutions of the time-fractional dispersive equations ⋮ On a Nonlinear Problem of the Breaking Water Waves ⋮ Scattering theory for delta-type potentials

Cites Work

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• Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation.
• Dispersive blowup of solutions of generalized Korteweg-de Vries equations
• A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• The absence of global positive solutions of quasilinear elliptic inequalities
• The essentially nonlinear capacities induced by differential operators
• The Initial-Boundary Value Problem for the Korteweg–de Vries Equation

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