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 | 922 | 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 | 897 | 1991 |
Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation CE Kenig, F Merle | 498 | 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 | 396 | 2005 |
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power F Merle | 366 | 1993 |
On universality of blow-up profile for L 2 critical nonlinear Schrödinger equation F Merle, P Raphael Inventiones mathematicae 156, 565-672, 2004 | 336 | 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 | 270 | 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 | 254 | 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 | 254 | 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 | 253 | 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 | 245 | 2002 |
Asymptotic Stability of Solitons¶ for Subcritical Generalized KdV Equations Y Martel, F Merle Archive for rational mechanics and analysis 157, 219-254, 2001 | 231 | 2001 |
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 | 229 | 2003 |
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 |
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 | 211 | 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 | 209 | 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 | 201 | 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 | 198 | 2000 |