On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation

DOI10.1007/s10688-012-0035-zzbMath1309.35115OpenAlexW2144402487MaRDI QIDQ366092

Pohozaev, Stanislav I.

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-012-0035-z

zbMATH Keywords

initial-boundary value problemnonlinear capacityCauchy problemblow-upKdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (6)

Global unsolvability of one-dimensional problems for Burgers-type equations ⋮ On the nonexistence of solutions of some nonlinear inequalities with nonintegral powers of the Laplace operator ⋮ Blow-up of solutions of some nonlinear inequalities with singularities on unbounded sets ⋮ Nonautonomous symmetries of the KdV equation and step-like solutions ⋮ Blowing-up solutions of the time-fractional dispersive equations ⋮ On a Nonlinear Problem of the Breaking Water Waves

Cites Work

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• On a class of initial-boundary value problems for equations of Korteweg-de Vries type
• Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation.
• On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation
• Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
• The essentially nonlinear capacities induced by differential operators
• The Initial-Boundary Value Problem for the Korteweg–de Vries Equation

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