62 citations · 261 across the 45 of their papers we have counts for
5 papers · 1 filter
On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations
Frank Merle, Hatem Zaag
We consider a blow-up solution for the semilinear wave equation in dimensions, with subconformal power nonlinearity. Introducing $\RR_0$ the set of non-characteristic points wi…
Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions
Frank Merle, Hatem Zaag
This is the first of two papers devoted to the study of the properties of the blow-up surface for the dimensional semilinear wave equation with subconformal power nonlinearity.…
Profile for a simultaneously blowing up solution for a complex valued semilinear heat equation
Nejla Nouaili, Hatem Zaag
We construct a solution to a complex nonlinear heat equation which blows up in finite time only at one blow-up point. We also give a sharp description of its blow-up profile. T…
Blow-up results for semilinear wave equations in the super-conformal case
Mohamed-Ali Hamza, Hatem Zaag
We consider the semilinear wave equation in higher dimensions with power nonlinearity in the super-conformal range, and its perturbations with lower order terms, including the Klei…
Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations
Mohamed-Ali Hamza, Hatem Zaag
We give blow-up results for the Klein-Gordon equation and other perturbations of the semilinear wave equations with superlinear power nonlinearity, in one space dimension or in hig…