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
908 2006 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
884 1991 Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation CE Kenig, F Merle
494 2008 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
390 2005 Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power F Merle
361 1993 On universality of blow-up profile for L 2 critical nonlinear Schrödinger equation F Merle, P Raphael
Inventiones mathematicae 156, 565-672, 2004
332 2004 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
273 1998 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
252 2006 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
252 2006 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
252 1990 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
247 1990 Stability and asymptotic stability for subcritical gKdV equations Y Martel, F Merle, TP Tsai
Communications in mathematical physics 231, 347-373, 2002
246 2002 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
228 2005 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
228 2003 Asymptotic Stability of Solitons¶ for Subcritical Generalized KdV Equations Y Martel, F Merle
Archive for rational mechanics and analysis 157, 219-254, 2001
226 2001 Stability of the blow-up profile for equations of the type F Merle, H Zaag
221 1997 Classification of radial solutions of the focusing, energy-critical wave equation T Duyckaerts, C Kenig, F Merle
arXiv preprint arXiv:1204.0031, 2012
210 2012 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
206 1998 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
197 2001 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
197 2000