Student Colloquium | |
DATE | 2019-10-22 12:00-13:00 |
PLACE | 數學館3176教室 |
SPEAKER | 陳永祥 同學(成功大學數學系) |
TITLE | The Existence of Solution to the Nonlinear Schrödinger Equation |
ABSTRACT |
First, we consider the standing wave solution of the nonlinear Schrödinger equation, which can be represented by the ground state, the standing wave is substituted into the equation to get the elliptic equation, and then gives the Pohozaev’s identity and some energy functionals, and proved that the minmizer of the functional of the constraint condition is the solution of the elliptic equation, these solutions are the ground state, thus indicating the existence of the standing wave solution. 我要參加 |