论文信息 - Well-posedness of KdV with higher dispersion

Well-posedness of KdV with higher dispersion

It is shown that if the dispersion of the KdV equation is replaced by a higher order dispersion @?"x^m, where m>=3 is an odd integer, then the critical Sobolev exponent for local well-posedness on the circle does not change. That is, the resulting equation is locally well-posed in H^s(T), s>=-1/2.

A. Alexandrou Himonas | Jennifer Gorsky | A. Himonas | Jennifer Gorsky

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