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frank merle
frank merle
U. cergy pontoise and IHES
Verified email at ihes.fr
Title
Cited by
Cited by
Year
Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case
CE Kenig, F Merle
arXiv preprint math/0610266, 2006
9082006
Uniform estimates and blow–up behavior for solutions of− δ (u)= v (x) eu in two dimensions
H Brezis, F Merle
Communications in partial differential equations 16 (8-9), 1223-1253, 1991
8841991
Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
CE Kenig, F Merle
4942008
The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
F Merle, P Raphael
Annals of mathematics, 157-222, 2005
3902005
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
F Merle
3611993
On universality of blow-up profile for L 2 critical nonlinear Schrödinger equation
F Merle, P Raphael
Inventiones mathematicae 156, 565-672, 2004
3322004
Compactness at blow-up time for L2 solutions of the critical nonlinear Schrödinger equation in 2D.
F Merle, L Vega
IMRN: International Mathematics Research Notices 1998 (8), 1998
2731998
On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
F Merle, P Raphael
Journal of the American Mathematical Society 19 (1), 37-90, 2006
2522006
On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
F Merle, P Raphael
Journal of the American Mathematical Society 19 (1), 37-90, 2006
2522006
Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
F Merle
Communications in mathematical physics 129, 223-240, 1990
2521990
L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
F Merle, Y Tsutsumi
Journal of differential equations 84 (2), 205-214, 1990
2471990
Stability and asymptotic stability for subcritical gKdV equations
Y Martel, F Merle, TP Tsai
Communications in mathematical physics 231, 347-373, 2002
2462002
Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation
F Merle, P Raphael
Communications in mathematical physics 253, 675-704, 2005
2282005
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
F Merle, P Raphael
Geometric & Functional Analysis GAFA 13 (3), 591-642, 2003
2282003
Asymptotic Stability of Solitons¶ for Subcritical Generalized KdV Equations
Y Martel, F Merle
Archive for rational mechanics and analysis 157, 219-254, 2001
2262001
Stability of the blow-up profile for equations of the type
F Merle, H Zaag
2201997
Classification of radial solutions of the focusing, energy-critical wave equation
T Duyckaerts, C Kenig, F Merle
arXiv preprint arXiv:1204.0031, 2012
2102012
Optimal estimates for blowup rate and behavior for nonlinear heat equations
F Merle, H Zaag
Communications on pure and applied mathematics 51 (2), 139-196, 1998
2061998
Existence of blow-up solutions in the energy space for the critical generalized KdV equation
F Merle
Journal of the American Mathematical Society 14 (3), 555-578, 2001
1972001
A Liouville theorem for the critical generalized Korteweg–de Vries equation
Y Martel, F Merle
Journal de mathématiques pures et appliquées 79 (4), 339-425, 2000
1972000
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