596 citations · 1.2k across the 49 of their papers we have counts for
65 papers
Classification of multi-solitons in one sense of time for the 5D energy-critical wave equation
Yvan Martel, Frank Merle
We classify the multi-solitons, in the positive sense of time, of the focusing energy-critical wave equation in space dimension , more precisely the solutions of the eq…
Existence of multi-solitons with any parameters for the 5D energy critical wave equation
Yvan Martel, Frank Merle
For the focusing, energy critical wave equation in dimension 5, we construct multi-solitons with any number of solitons, any choice of signs, speeds, scaling parameters and transla…
On classification of non-radiative solutions for various energy-critical wave equations
Charles Collot, Thomas Duyckaerts, Carlos Kenig +1
Non-radiative solutions of energy critical wave equations are such that their energy in an exterior region vanishes asymptotically in both time directions. This notion,…
On channels of energy for the radial linearised energy critical wave equation in the degenerate case
Charles Collot, Thomas Duyckaerts, Carlos Kenig +1
Channels of energy estimates control the energy of an initial data from that which it radiates outside a light cone. For the linearised energy critical wave equation they have been…
On degenerate blow-up profiles for the subcritical semilinear heat equation
Frank Merle, Hatem Zaag
We consider the semilinear heat equation with a superlinear power nonlinearity in the Sobolev subcritical range. We construct a solution which blows up in finite time only at the o…
Soliton resolution for the radial quadratic wave equation in six space dimensions
Charles Collot, Thomas Duyckaerts, Carlos Kenig +1
We consider the quadratic semilinear wave equation in six dimensions. This energy critical problem admits a ground state solution, which is the unique (up to scaling) positive stat…