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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 06 > No. 6-1S

 
   

Family Potential Wells and its Applications to NLS with Harmonic Potentia

PP: 155S-165S
Author(s)
Xiaoli Jiang, et al,
Abstract
This paper discusses a class of nonlinear Schršodinger equation with combined power-type nonlinearities and harmonic potential. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we derive a sharp condition for blow up and global existence of the solutions by applying the potential well theory and the concavity method.

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