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Isolatedness 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 consider an arbitrary blow-up solution , the graph of its blow-u…
math.AP2010
Maximizers for the Strichartz norm for small solutions of mass-critical NLS
Thomas Duyckaerts, Frank Merle, Svetlana Roudenko
Consider the mass-critical nonlinear Schrödinger equations in both focusing and defocusing cases for initial data in in space dimension N. By Strichartz inequality, solutions…
math.AP2010
Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Following our previous paper in the radial case, we consider blow-up type II solutions to the energy-critical focusing wave equation. Let W be the unique radial positive stationary…