Article ID Journal Published Year Pages File Type
4663652 Acta Mathematica Scientia 2013 9 Pages PDF
Abstract

In this paper, we study the Cauchy problem of the inhomogeneous energy-critical Schrödinger equation: . Using the potential well method, we establish some new sharp criteria for blow-up of solutions in the nonradial case. In particular, our conclusion in some sense improves on the results in [Kenig and Merle, Invent. Math. 166, 645-675 (2006)], where only the radial case is considered in dimensions 3, 4, 5.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)