Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem

By F. Merle, Pierre Raphael, Igor Rodnianski. 2013

120 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6c009b696530e00f38c81820309b11f1d1e5103c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Yvan Martel
2. Pierre Raphael
3. F. Merle

In Mathematical Physics

1. F. Merle
2. Pierre Raphael
3. Yvan Martel
4. Carlos E. Kenig
5. Hatem Zaag
6. Jérémie Szeftel
7. Raphael Cote
8. Thomas Duyckaerts

In Nuclear and High Energy Physics

1. Yvan Martel
2. F. Merle
3. Pierre Raphael

Citations in the corpus

• Blow up for the critical gKdV equation II: minimal mass dynamics (2012, methodology): “In Part I [29], we have revisited the blow up analysis in light of recent developments related to blow up for the mass critical Schrödinger equation [35]–[40] and energy critical geometrical equations [41], [46], [47].”
• Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton (2014, methodology): “A related strategy originated in [24], [32], [33] and [39], but is implemented here in a new optimal way.”
• Infinite-time blow-up for the 3-dimensional energy-critical heat equation (2017, unknown): “1) is constructed on the basis of the modulation equation methods developed for critical dispersive equations in [9, 25, 24, 33, 34].”