Sanchez Sanchez, Yafet and Vickers, James (2018) Green operators for low regularity spacetimes. Journal of Physics: Conference Series, 968 (1), 1-14. (doi:10.1088/1742-6596/968/1/012011).
Abstract
In this paper we define and construct advanced and retarded Green operators for the wave operator on spacetimes with low regularity. In order to do so we require that the spacetime satisfies the condition of generalised hyperbolicity which is equivalent to well-posedness of the classical inhomogeneous problem with zero initial data where weak solutions are properly supported. Moreover, we provide an explicit formula for the kernel of the Green operators in terms of an arbitrary eigenbasis of H 1 and a suitable Green matrix that solves a system of second order ODEs.
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- Faculties (pre 2018 reorg) > Faculty of Engineering and the Environment (pre 2018 reorg) > Southampton Marine & Maritime Institute (pre 2018 reorg)
- Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)
Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)
School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg) - Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg)
Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg)
School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg)
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