ON THE LOCAL WELL-POSEDNESS OF QUASILINEAR SCHRÖDINGER EQUATIONS IN ARBITRARY SPACE DIMENSION
ON THE LOCAL WELL-POSEDNESS OF QUASILINEAR SCHRÖDINGER EQUATIONS IN ARBITRARY SPACE DIMENSION
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DOI：
10.1081/pde-120002789
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发表时间：
2002-11
影响因子：
1.9
通讯作者：
M. Colin
中科院分区：
文献类型：
--
作者：
M. Colin
摘要我们研究了一类拟线性薛定谔方程的柯西问题，这类方程是几种物理现象的模型。我们证明了在任意空间维N中存在局部解，而不存在任何关于初值的小条件。
ABSTRACT We study the Cauchy Problem associated to a class of quasilinear Schrödinger equations which have been derived as models of several physical phenomenas. We prove local existence in arbitrary space dimension N without any smallness condition on the initial data.