Well-posedness of stochastic modified Kawahara equation
Abstract In this paper we consider the Cauchy problem for the stochastic modified 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≥−1/4 $s\geq -1/4$. Moreover, we get the global existence for L2(R) $L^{2}( \...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-019-2485-6 |