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Journal Article

#### The Well-posedness of the Null-Timelike Boundary Problem for Quasilinear Waves

##### MPS-Authors

##### Locator

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##### Fulltext (public)

1010.1201.pdf

(Preprint), 329KB

CQG_28_14_145020.pdf

(Any fulltext), 191KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Kreiss, H.-O., & Winicour, J. (2011). The Well-posedness of the Null-Timelike Boundary
Problem for Quasilinear Waves.* Classical and quantum gravity,* *28*(14):
145020. doi:10.1088/0264-9381/28/14/145020.

Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-06AA-F

##### Abstract

The null-timelike initial-boundary value problem for a hyperbolic system of
equations consists of the evolution of data given on an initial characteristic
surface and on a timelike worldtube to produce a solution in the exterior of
the worldtube. We establish the well-posedness of this problem for the
evolution of a quasilinear scalar wave by means of energy estimates. The
treatment is given in characteristic coordinates and thus provides a guide for
developing stable finite difference algorithms. A new technique underlying the
approach has potential application to other characteristic initial-boundary
value problems.