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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…
Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term
Mohammed Abderrahman Ebde, Hatem Zaag
We consider a nonlinear heat equation with a gradient term. We construct a blow-up solution for this equation with a prescribed blow-up profile. For that, we translate the question…
Blow-up behavior outside the origin for a semilinear wave equation in the radial case
F. Merle, H. Zaag
We consider the semilinear wave equation in the radial case with conformal subcritical power nonlinearity. If we consider a blow-up point different from the origin, then we exhibit…
Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension
F. Merle, H. Zaag
We consider the semilinear wave equation with power nonlinearity in one space dimension. We first show the existence of a blow-up solution with a characteristic point. Then, we con…