Global existence for a system of weakly coupled nonlinear Schrodinger equations

作者：Shu J^*; Zhang J

来源：Mathematical Notes, 2009, 86(5-6): 650-654.

DOI：10.1134/S0001434609110078

• weakly coupled nonlinear Schrodinger equations
• global existence
• Gagliardo-Nirenberg inequality
• Cauchy problem
• Laplace operator
• nonlinear optics

This paper discusses the weakly coupled nonlinear Schrodinger equations in the supercritical case. With the best constant of the Gagliardo-Nirenberg inequality, we derive a sufficient condition for the global existence of solutions; this condition is expressed in terms of stationary solutions (nonlinear ground state).

• 出版日期2009-12
• 单位四川师范大学