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On the global well-posedness for the nonlinear Schrödinger equations with large initial data of infinite L2L2 norm

Article ID Journal Published Year Pages File Type
842039 Nonlinear Analysis: Theory, Methods & Applications 2011 16 Pages PDF
Abstract

It is shown that the Cauchy problem for the nonlinear Schrödinger equations iut+△u±|u|p−1u=0,x∈Rd,t>0 is globally well-posed for a class of initial data which lie in a LqLq space with qq near 2 when 1

Keywords
Large initial dataGlobal solutionCauchy problem
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
On the global well-posedness for the nonlinear Schrödinger equations with large initial data of infinite L2L2 norm
Authors
Ryosuke Hyakuna, Takamasa Tanaka, Masayoshi Tsutsumi,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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