In this paper we prove the soliton resolution conjecture for all times, for all solutions in the
energy space, of the co-rotational wave map equation. To our knowledge this is the first such …

We consider the focusing energy-critical nonlinear wave equation for radially symmetric
initial data in space dimensions D≥ 4. This equation has a unique (up to sign and scale) …

We consider the equivariant wave maps equation $\mathbb {R}^{1+ 2}\to\mathbb {S}^ 2$, in
all equivariance classes $ k\in\mathbb {N} $. We prove that every finite energy solution …

By definition, the exterior asymptotic energy of a solution to a wave equation on R^ 1+ NR
1+ N is the sum of the limits as t → ± ∞ t→±∞ of the energy in the the exterior {| x|>| t|\}| x|>| t …

Global Solutions with Asymptotic Self-Similar Behaviour for the Cubic Wave Equation |
Communications in Mathematical Physics Skip to main content SpringerLink Account Menu …

Non-radiative solutions of energy critical wave equations are such that their energy in an
exterior region| x|> R+| t| vanishes asymptotically in both time directions. This notion …

For the focusing energy critical wave equation in 5D, we construct a solution showing the
inelastic nature of the collision of two solitons for any choice of sign, speed, scaling and …

In this work we give a few explicit formulas regarding the radiation fields of linear free waves.
We then apply these formulas on the channel of energy theory. We characterize all the radial …

In this article we consider large energy wave maps in dimension 2+ 1, as in the resolution of
the threshold conjecture by Sterbenz and Tataru (Commun. Math. Phys. 298 (1): 139–230 …

We consider a wave equation in three space dimensions, with a power-like nonlinearity
which is either focusing or defocusing. The exponent is greater than 3 (conformally …