Weighted identities for solutions of generalized Korteweg-de Vries equations

DOI10.1134/S0001434611030102zbMath1231.35212MaRDI QIDQ650437

Pohozaev, Stanislav I.

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Korteweg-de Vries equationinitial boundary value problemblow-up of solutionsweighted differential inequalityweighted integral inequality

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Generalized solutions to partial differential equations (35D99)

Related Items (4)

Maximal regularity and two‐sided estimates of the approximation numbers of the nonlinear Sturm–Liouville equation solutions with rapidly oscillating coefficients in L₂(ℝ) ⋮ Solution blowup for systems of shallow-water equations ⋮ Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory ⋮ Blowing-up solutions of the time-fractional dispersive equations

Cites Work

• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• Multidimensional scalar conservation laws
• 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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