Collot, Charles; Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank On channels of energy for the radial linearised energy critical wave equation in the degenerate case. (English) Zbl 07805876 Int. Math. Res. Not. 2023, No. 24, 21015-21067 (2023). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{C. Collot} et al., Int. Math. Res. Not. 2023, No. 24, 21015--21067 (2023; Zbl 07805876) Full Text: DOI arXiv
Merle, Frank; Zaag, Hatem Behavior rigidity near non-isolated blow-up points for the semilinear heat equation. (English) Zbl 1501.35092 Int. Math. Res. Not. 2022, No. 20, 16196-16260 (2022). MSC: 35B44 35K15 35K58 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, Int. Math. Res. Not. 2022, No. 20, 16196--16260 (2022; Zbl 1501.35092) Full Text: DOI arXiv
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie On strongly anisotropic type I blowup. (English) Zbl 1432.35124 Int. Math. Res. Not. 2020, No. 2, 541-606 (2020). Reviewer: Joseph Shomberg (Providence) MSC: 35K58 35B44 PDFBibTeX XMLCite \textit{F. Merle} et al., Int. Math. Res. Not. 2020, No. 2, 541--606 (2020; Zbl 1432.35124) Full Text: DOI arXiv
Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank Universality of blow up profile for small blow up solutions to the energy critical wave map equation. (English) Zbl 1421.35038 Int. Math. Res. Not. 2018, No. 22, 6961-7025 (2018). MSC: 35B44 35L71 35L15 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., Int. Math. Res. Not. 2018, No. 22, 6961--7025 (2018; Zbl 1421.35038) Full Text: DOI arXiv
Martel, Yvan; Merle, Frank On the nonexistence of pure multi-solitons for the quartic gKdV equation. (English) Zbl 1315.35191 Int. Math. Res. Not. 2015, No. 3, 688-739 (2015). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Int. Math. Res. Not. 2015, No. 3, 688--739 (2015; Zbl 1315.35191) Full Text: DOI arXiv
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank Scattering for radial, bounded solutions of focusing supercritical wave equations. (English) Zbl 1310.35171 Int. Math. Res. Not. 2014, No. 1, 224-258 (2014). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35L05 35L15 35P25 35B44 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., Int. Math. Res. Not. 2014, No. 1, 224--258 (2014; Zbl 1310.35171) Full Text: DOI arXiv
Merle, Frank; Zaag, Hatem On growth rate near the blowup surface for semilinear wave equations. (English) Zbl 1160.35478 Int. Math. Res. Not. 2005, No. 19, 1127-1155 (2005). MSC: 35L70 35B45 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, Int. Math. Res. Not. 2005, No. 19, 1127--1155 (2005; Zbl 1160.35478) Full Text: DOI
Merle, F.; Vega, L. \(L^2\) stability of solitons for KdV equation. (English) Zbl 1022.35061 Int. Math. Res. Not. 2003, No. 13, 735-753 (2003). Reviewer: Boris A.Malomed (Tel Aviv) MSC: 35Q53 37K45 PDFBibTeX XMLCite \textit{F. Merle} and \textit{L. Vega}, Int. Math. Res. Not. 2003, No. 13, 735--753 (2003; Zbl 1022.35061) Full Text: DOI
Antonini, Christophe; Merle, Frank Optimal bounds on positive blow-up solutions for a semilinear wave equation. (English) Zbl 0989.35090 Int. Math. Res. Not. 2001, No. 21, 1141-1167 (2001). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35L70 35L67 35B40 35B05 PDFBibTeX XMLCite \textit{C. Antonini} and \textit{F. Merle}, Int. Math. Res. Not. 2001, No. 21, 1141--1167 (2001; Zbl 0989.35090) Full Text: DOI
Merle, F.; Vega, L. Compactness at blow-up time for \(L^2\) solutions of the critical nonlinear Schrödinger equation in 2D. (English) Zbl 0913.35126 Int. Math. Res. Not. 1998, No. 8, 399-425 (1998). Reviewer: Dimitar Kolev (Sofia) MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{F. Merle} and \textit{L. Vega}, Int. Math. Res. Not. 1998, No. 8, 399--425 (1998; Zbl 0913.35126) Full Text: DOI