Stability of the blow-up profile of non-linear heat equations from the dynamical system point of view
By Clotilde Fermanian Kammerer, F. Merle, Hatem Zaag. 2000
84 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/bffb624c8ce271c59c70b417990000144daae9e5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Pierre Raphael
- Hatem Zaag
- F. Merle
- Yvan Martel
- Carlos E. Kenig
- Raphael Cote
- Thomas Duyckaerts
- Aynur Bulut
In Computational Theory and Mathematics
In Control and Systems Engineering
- F. Merle
- Hatem Zaag
- Pierre Raphael
- B. Dodson
- Carlos E. Kenig
- Jérémie Szeftel
- Yvan Martel
- Wilhelm Schlag
Citations in the corpus
- On universality of blow-up profile for L2 critical nonlinear Schrödinger equation (2004, background): “As studied in different situations, see for example [8], the rough picture should be as follows.”
- A Liouville theorem for vector-valued nonlinear heat equations and applications (2000, methodology): “for some k 2 Nnf0; 1g. Remark : In the case of single point blow-up withl = N andM = 1, we use the Liouville Theorem and show with Fermanian-Kammerer in [ FKMZ ] that the behavior (17) is stable under perturbations of initial data.”