The Initial-boundary Value Problem for the Korteweg-de Vries Equation
نویسنده
چکیده
We prove local well-posedness of the initial-boundary value problem for the Korteweg-de Vries equation on right half-line, left half-line, and line segment, in the low regularity setting. This is accomplished by introducing an analytic family of boundary forcing operators.
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Initial-Boundary Value Problems for the Korteweg-de Vries Equation
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