Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension

Nobutatsu Kobayashi

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arXiv · 2403.17380

Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension

Nobutatsu Kobayashi

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Abstract

We study the Cauchy problem for the Zakharov system in one space dimension with the Diriclet boundary conditions. We establish the global well-posedness and the growth of higher-order Sobolev norms of solutions to the Zakharov system by using the modified energy method.

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Nobutatsu Kobayashi. 2024-03-26. Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension. https://arxiv.org/abs/2403.17380

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