Log-log blow up solutions blow up at exactly m points

Abstract

We study the focusing mass-critical nonlinear Schrödinger equation, and construct certain solutions which blow up at exactly $m$ points according to the log-log law.

Theorem 1.2 is improved. Some typos are fixed. 58 pages. All comments are welcome

References in corpus (2)

• Strongly interacting blow up bubbles for the mass critical NLS
• Standing Ring Blowup Solutions for Cubic NLS

Cited by in corpus (2)

• Strongly interacting blow up bubbles for the mass critical NLS
• Blow-up solutions for $L^2$-supercritical gKdV equations with exactly $k$ blow-up points