On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries Equation
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We establish conditions on the initial data under which the Cauchy problem for the Korteweg-de Vries equation does not admit a solution global in t > 0. The proof of the results is based on the nonlinear capacity method . In closing, we provide an example.
Key wordsblow-up KdV equation initial-boundary value problem Cauchy problem nonlinear capacity
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