题 目: Bifurcation from infinity for the one-dimensional asymptotically linear NLS
报告人： Prof. Francois Genoud
（Heriot-Watt University, Edinburgh, Scotland）
时 间: 2011年2月25日(周五) 下午 1:00 - 2:00
地 点: 闵行校区数学楼102报告厅
摘 要：
I will speak about a (stationary) nonlinear Schrodinger equation arising in the physics of nonlinear planar waveguides. The nonlinearity is formally
asymptotically linear, describing the saturation of the refractive index of the waveguide at high power. However, due to the unboundedness of the domain, the
problem is not rigorously asymptotically linear and a truncation argument is required to carry out the bifurcation analysis. Furthermore, a lack of
regularity and compactness prevents from using standard global bifurcation theory and I appeal to recent developments of degree theory to obtain global,
asymptotic, bifurcation.