Hamza, Mohamed Ali; Zaag, Hatem Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation. (English) Zbl 1437.35500 J. Differ. Equations 267, No. 6, 3524-3560 (2019). MSC: 35L71 35L67 35L15 35B44 35B40 35B20 35C08 PDFBibTeX XMLCite \textit{M. A. Hamza} and \textit{H. Zaag}, J. Differ. Equations 267, No. 6, 3524--3560 (2019; Zbl 1437.35500) Full Text: DOI arXiv
Merle, Frank; Zaag, Hatem Solution to the semilinear wave equation with a pyramid-shaped blow-up surface. (English) Zbl 1475.35209 Sémin. Laurent Schwartz, EDP Appl. 2016-2017, Exp. No. 6, 13 p. (2017). MSC: 35L71 35B40 35B44 35C08 35L15 35L05 35L67 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 6, 13 p. (2017; Zbl 1475.35209) Full Text: DOI Numdam
Azaiez, Asma; Zaag, Hatem A modulation technique for the blow-up profile of the vector-valued semilinear wave equation. (English) Zbl 1387.35065 Bull. Sci. Math. 141, No. 4, 312-352 (2017). MSC: 35B44 35L71 PDFBibTeX XMLCite \textit{A. Azaiez} and \textit{H. Zaag}, Bull. Sci. Math. 141, No. 4, 312--352 (2017; Zbl 1387.35065) Full Text: DOI arXiv
Merle, Frank; Zaag, Hatem Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions. (English) Zbl 1339.35062 Trans. Am. Math. Soc. 368, No. 1, 27-87 (2016). MSC: 35B44 35L71 35L67 35B40 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, Trans. Am. Math. Soc. 368, No. 1, 27--87 (2016; Zbl 1339.35062) Full Text: DOI arXiv
Merle, Frank; Zaag, Hatem On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations. (English) Zbl 1315.35134 Commun. Math. Phys. 333, No. 3, 1529-1562 (2015). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35B44 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, Commun. Math. Phys. 333, No. 3, 1529--1562 (2015; Zbl 1315.35134) Full Text: DOI arXiv
Côte, Raphaël; Zaag, Hatem Construction of a multisoliton blowup solution to the semilinear wave equation in one space dimension. (English) Zbl 1295.35124 Commun. Pure Appl. Math. 66, No. 10, 1541-1581 (2013). Reviewer: Yvan Martel (Palaiseau) MSC: 35B44 35L71 35B40 37K40 35C08 PDFBibTeX XMLCite \textit{R. Côte} and \textit{H. Zaag}, Commun. Pure Appl. Math. 66, No. 10, 1541--1581 (2013; Zbl 1295.35124) Full Text: DOI arXiv
Merle, Frank; Zaag, Hatem Isolatedness of characteristic points at blowup for a 1-dimensional semilinear wave equation. (English) Zbl 1270.35320 Duke Math. J. 161, No. 15, 2837-2908 (2012). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35L71 35B44 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, Duke Math. J. 161, No. 15, 2837--2908 (2012; Zbl 1270.35320) Full Text: DOI arXiv Euclid
Merle, Frank; Zaag, Hatem Blow-up behavior outside the origin for a semilinear wave equation in the radial case. (English) Zbl 1222.35126 Bull. Sci. Math. 135, No. 4, 353-373 (2011). Reviewer: Marie Kopáčková (Praha) MSC: 35L71 35L05 35B44 35B40 35L67 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, Bull. Sci. Math. 135, No. 4, 353--373 (2011; Zbl 1222.35126) Full Text: DOI arXiv
Merle, Frank; Zaag, Hatem Openness of the set of non-characteristic points and regularity of the blow-up curve for the 1 D semilinear wave equation. (English) Zbl 1159.35046 Commun. Math. Phys. 282, No. 1, 55-86 (2008). Reviewer: Marie Kopáčková (Praha) MSC: 35L70 35B40 35L15 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, Commun. Math. Phys. 282, No. 1, 55--86 (2008; Zbl 1159.35046) Full Text: DOI
Merle, Frank; Zaag, Hatem Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension. (English) Zbl 1133.35070 J. Funct. Anal. 253, No. 1, 43-121 (2007). Reviewer: Marie Kopáčková (Praha) MSC: 35L70 35L15 35B40 PDFBibTeX XMLCite \textit{F. Merle} and \textit{H. Zaag}, J. Funct. Anal. 253, No. 1, 43--121 (2007; Zbl 1133.35070) Full Text: DOI