printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

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analysis seminar

jesus oliver

ucsd

a vector field method for non-trapping, radiating space-times

abstract:

we study the global pointwise decay properties of solutions to the linear wave equation in 3+1 dimensions on a family time-dependent, non-trapping, radiating space-times. assuming a local energy decay estimate we prove that sufficiently regular solutions to this equation satisfy a conformal energy estimate and higher order conformal energy estimate with one vector field. as an application we establish a global pointwise decay estimate in terms of a weighted norm on initial data.

february 20, 2014

12:00 pm

ap&m 5829

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