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LONG TIME SOLUTIONS FOR WAVE MAPS WITH LARGE DATA
LONG TIME SOLUTIONS WAVE MAPS LARGE DATA
2018/4/19
For 2 + 1 dimensional wave maps with S2 as the target, we show that for all positive numbers T0 > 0 and E0 > 0, there exist Cauchy initial data with energy at least E0, so that the solution's life-spa...
Stability of Stationary Wave Maps from a Curved Background to a Sphere
Stability of Stationary Wave Maps Curved Background Sphere
2012/4/18
We study time and space equivariant wave maps from $M\times\RR\rightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metri...
Global well-posedness and scattering for Skyrme wave maps
Wave maps Skyrme model Adkins-Nappi model global existence scattering theory
2011/7/28
Abstract: We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces.
Scattering of Wave Maps from $\mathbb R^{2+1}$ to general targets
Scattering of Wave Maps $\mathbb R^{2+1}$ general targets
2011/1/17
We show that smooth, compactly supported radially symmetric Wave Maps U from R2+1 to a compact target mani-fold N scatter.
On the Global Regularity of Wave Maps in the Critical Sobolev Norm
Wave Maps Critical Sobolev Norm
2014/4/3
This paper, in collaboration with I. Rodnianski, is an extension of the recent higher dimensional critical regularity result of T. Tao to general bounded parallelizable Riemannian target manifolds.