Global well-posedness of initial-boundary value problem of fifth-order KdV equation posed on finite interval
We have established the existence and uniqueness of the local solution for (0.1)∂tu+∂x5u−u∂xu=0,0<x<1,t>0,u(x,0)=φ(x),0<x<1,u(0,t)=h1(t),u(1,t)=h2(t),∂xu(1,t)=h3(t),∂xu(0,t)=h4(t),∂x2u(1,t)=h5(t),t>0,\left\{\begin{array}{ll}{\partial }_{t}u+{\partial }_{x}^{5}u-u{\partial }_{x}u=0,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2023-0158 |