We consider focusing nonlinear Schr\"odinger equations, which are mass supercritical and energy subcritical. For these equations, given initial data which has mass and energy below ground state initial data, a classification between blow up and global existence is known. However for initial data above the ground state, behavior is only known for special cases. In this talk we discuss the impact of angular momentum on long time behavior of solutions and introduce some new global and blow up solutions.
New global and blowup solutions for nonlinear Schrodinger equations above the ground state
Tue, Oct. 1 2:30pm (MATH 3…
Lie Theory
Richard Green (CU)
X
A root system for a simply laced finite Weyl group is a discrete collection of vectors in Euclidean space on which the group acts transitively. In some cases, the set of maximal sets of orthogonal positive roots has the structure of a graded partially ordered set, known as a quasiparabolic set. The talk will describe the rich combinatorial structure of these partially ordered sets.
This is joint work with Tianyuan Xu (University of Richmond).
An infinity category is a category equipped with some notion of homotopy, allowing us to transport parts of classical homotopy theory to a more abstract setting. In this talk I will introduce infinity categories through the language of simplicial sets and give an overview of some of the basic definitions and constructions that arise when studying infinity categories.
New global and blowup solutions for nonlinear Schrodinger equations above the ground state