The well-posedness of stochastic Kawahara equation: fixed point argument and Fourier restriction method
Abstract In this paper, we investigate the Cauchy problem for the stochastic Kawahara equation, which is a fifth-order shallow water wave equation. We prove local well-posedness for data in Hs(ℝ) $H^{s}(\mathbb {R})$, s>−7/4. Moreover, we get global existence for L2(ℝ) $L^{2}(\mathbb {R})$ soluti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-04-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s42787-019-0006-0 |