Title of article :
On the global well-posedness for the nonlinear Schrödinger equations with large initial data of infinite L2L2 norm
Author/Authors :
Ryosuke Hyakuna، نويسنده , , Takamasa Tanaka، نويسنده , , Masayoshi Tsutsumi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
16
From page :
1304
To page :
1319
Abstract :
It is shown that the Cauchy problem for the nonlinear Schrödinger equations
View the MathML sourceiut+△u±|u|p−1u=0,x∈Rd,t>0
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is globally well-posed for a class of initial data which lie in a LqLq space with qq near 2 when 1
Keywords :
Nonlinear Schr?dinger equations , Large initial data , Cauchy problem , LpLp-initial data , global solution
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Serial Year :
2011
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Record number :
862937
Link To Document :
