On a class of initial-boundary value problems for equations of Korteweg-de Vries type

DOI10.1134/S0012266112030081zbMath1246.35183MaRDI QIDQ443987

Pohozaev, Stanislav I.

Publication date: 13 August 2012

Published in: Differential Equations (Search for Journal in Brave)

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)

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

Cites Work

• Asymptotic behavior of the Korteweg-de Vries equation posed in a quarter plane
• The large-time development of the solution to an initial-boundary value problem for the Korteweg-de Vries equation. I: Steady state solutions
• A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
• The Large-Time Development of the Solution to an Initial-Boundary Value Problem for the Korteweg-De Vries Equation. II. Expansion Wave Solutions
• Explicit soliton asymptotics for the Korteweg–de Vries equation on the half-line
• Forced Oscillations of a Damped Korteweg-de Vries Equation in a Quarter Plane
• Exact Boundary Controllability for the Linear Korteweg--de Vries Equation on the Half-Line
• The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
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