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Showing 2007 · math.APShow all
3 papers · 2 filters
math.AP2007★ 2 cited
Decay of the Maxwell field on the Schwarzschild manifold
P. Blue
We study solutions of the decoupled Maxwell equations in the exterior region of a Schwarzschild black hole. In stationary regions, where the Schwarzschild coordinate ranges ove…
math.AP2007★ 1 cited
Energy identity for approximations of harmonic maps from surfaces
Tobias Lamm
We prove the energy identity for min-max sequences of the Sacks-Uhlenbeck and the biharmonic approximation of harmonic maps from surfaces into general target manifolds. The proof r…
math.AP2007★ 2 cited
Existence of a solution to a vector-valued Allen-Cahn equation with a three well potential
Mariel Saez Trumper
In this paper we prove existence of a vector-valued solution to -Δv +\frac{\nabla_v W(v)}{2}&=0, \lim_{r\to \infty}v(r \cosθ,r\sinθ)&= c_i \hbox{for} θ\in (θ_{i-1}, θ_i), where…