71 citations · 215 across the 13 of their papers we have counts for
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Testing the well-posedness of characteristic evolution of scalar waves
M. C. Babiuc, H-O. Kreiss, J. Winicour
Recent results have revealed a critical way in which lower order terms affect the well-posedness of the characteristic initial value problem for the scalar wave equation. The prope…
Geometric Boundary Data for the Gravitational Field
H-O. Kreiss, J. Winicour
An outstanding issue in the treatment of boundaries in general relativity is the lack of a local geometric interpretation of the necessary boundary data. For the Cauchy problem, th…
The Well-posedness of the Null-Timelike Boundary Problem for Quasilinear Waves
H-O. Kreiss, J. Winicour
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…
On the well posedness of Robinson Trautman Maxwell solutions
Carlos Kozameh, Oscar Reula, Heinz-Otto Kreiss
We show that the so called Robinson-Trautman-Maxwell equations do not constitute a well posed initial value problem. That is, the dependence of the solution on the initial data is…
Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
H. -O. Kreiss, O. Reula, O. Sarbach +1
In recent work, we used pseudo-differential theory to establish conditions that the initial-boundary value problem for second order systems of wave equations be strongly well-posed…
Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations
M. C. Babiuc, H-O. Kreiss, Jeffrey Winicour
The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A new…