Well-posedness and ill-posedness of the fifth-order modified KdV equation
We consider the initial value problem of the fifth-order modified KdV equation on the Sobolev spaces. $$displaylines{ partial_t u - partial_x^5u + c_1partial_x^3(u^3) + c_2upartial_x upartial_x^2 u + c_3uupartial_x^3 u =0cr u(x,0)= u_0(x) }$$ where $u:mathbb{R}imesmathbb{R} o mathbb{R} $ and...
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| Format: | Article |
| Language: | English |
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Texas State University
2008-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/01/abstr.html |