Blow-up solutions for the 2-dimensional critical Schrödinger equation on a riemannian manifold
Blow-up solutions for the 2-dimensional critical Schrödinger equation on a riemannian manifold
The present work aims at investigating the effects of a non-euclidean geometry on existence and uniqueness results for critical blow up NLS solutions. We will use many ideas from the works of Merle and Raphael, particularly ideas from modulation theory which describes a solution in terms of geometric invariants parameters. …