Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications

@article{Bona2006BoundarySP,
  title={Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications},
  author={J. Bona and S. Sun and B. Zhang},
  journal={Dynamics of Partial Differential Equations},
  year={2006},
  volume={3},
  pages={1-69}
}
  • J. Bona, S. Sun, B. Zhang
  • Published 2006
  • Mathematics
  • Dynamics of Partial Differential Equations
  • Reported here are results concerning the initial boundary value problem (IBVP) for the Korteweg-de Vries equation in a quarter plane, viz. 
    The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
    • 114
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    • Open Access
    Kawahara equation in a quarter-plane and in a finite domain
    • 13
    • Open Access
    Control and stabilization of the Korteweg-de Vries equation: recent progresses
    • 84
    • Open Access
    Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation
    • 34
    • Highly Influenced
    Well-posedness of a class of non-homogeneous boundary value problems of the Korteweg-de Vries equation on a finite domain
    • 11
    • Highly Influenced
    • Open Access

    References

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    Remarks on the Korteweg-de Vries equation
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    THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
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    A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
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    An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces
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    Well-posedness of the initial value problem for the Korteweg-de Vries equation
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