THE INITIAL-BOUNDARY-VALUE PROBLEM FOR THE 1D NONLINEAR SCHRODINGER EQUATION ON THE HALF-LINE

被引:0
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作者
Holmer, Justin [1 ]
机构
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove, by adapting the method of Colliander-Kenig [9], local well posedness of the initial-boundary-value problem for the one-dimensional nonlinear Schrodinger equation i partial derivative(t)u + partial derivative(2)(x)u + lambda u vertical bar u vertical bar(alpha-1) = 0 on the half-line under low boundary regularity assumptions.
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页码:647 / 668
页数:22
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