EXISTENCE OF THE GLOBAL SMOOTH SOLUTION TO A FRACTIONAL NONLINEAR SCHR&#214;DINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES

Boling Guo; Qiaoxin Li

doi:10.11948/2015060

2015 Volume 5 Issue 4

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Boling Guo, Qiaoxin Li. EXISTENCE OF THE GLOBAL SMOOTH SOLUTION TO A FRACTIONAL NONLINEAR SCHRÖDINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 793-808. doi: 10.11948/2015060

Citation:

Boling Guo, Qiaoxin Li. EXISTENCE OF THE GLOBAL SMOOTH SOLUTION TO A FRACTIONAL NONLINEAR SCHRÖDINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 793-808. doi: 10.11948/2015060

EXISTENCE OF THE GLOBAL SMOOTH SOLUTION TO A FRACTIONAL NONLINEAR SCHRÖDINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES

Boling Guo¹,
Qiaoxin Li²

1 Institute of Applied Physics and Computational Mathematics, Beijing, People's Republic of China;
2 The Graduate School of China Academy of Engineering Physics, Beijing, People's Republic of China

Abstract

Abstract

In this paper, the fractional nonlinear Schrödinger equations for atomic Bose-Einstein condensates are studied. By using the Galërkin method and a priori estimates, the existence and uniqueness of global smooth solution are obtained.
- Fractional Schrödinger equations /
- the Galërkin method /
- a priori estimates /
- global smooth solution
MSC: 35K15;35K55

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References

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