Special Session 80: Functional inequalities and PDEs
Lieb-Thirring interpolation inequality and applications to systems of nonlinear Schr\{o}dinger equations
Phuoc Tai Nguyen
Masaryk University Czech Rep
Co-Author(s): Phuoc-Tai Nguyen
Abstract:
In this talk, I will discuss the existence of finite-rank operators for an interpolation version of the Lieb-Thirring inequality in the mass-supercritical case. Then I will apply this result to study global existence and finite-time blow-up for systems of nonlinear Schr\{o}dinger equations.