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math.AP2013
Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations
Thomas Duyckaerts, Carlos E. Kenig, Frank Merle
Consider a bounded solution of the focusing, energy-critical wave equation that does not scatter to a linear solution. We prove that this solution converges in some weak sense, alo…
math.AP2013★ 62 cited
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…
math.AP2013
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.…