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Title: Cauchy problem for non-autonomous nonlinear Schrodinger equations
Authors: Pang, P.Y.H. 
Tang, H.
Wang, Y.
Keywords: Global existence
Local existence
Non-autonomous Schrodinger equations
Issue Date: Apr-2005
Citation: Pang, P.Y.H.,Tang, H.,Wang, Y. (2005-04). Cauchy problem for non-autonomous nonlinear Schrodinger equations. Science in China, Series A: Mathematics 48 (4) : 522-538. ScholarBank@NUS Repository.
Abstract: In this paper we study the Cauchy problem for cubic nonlinear. Schrodinger equation with space- and time-dependent coefficients on Rm and Tm. By an approximation argument we prove that for suitable initial values, the Cauchy problem admits unique local solutions. Global existence is discussed in the cases of m = 1,2.
Source Title: Science in China, Series A: Mathematics
ISSN: 10069283
DOI: 10.1360/03ys0012
Appears in Collections:Staff Publications

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