71 citations · 215 across the 13 of their papers we have counts for
13 papers
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…
Boundary estimates for the elastic wave equation in almost incompressible materials
Heinz-Otto Kreiss, N. Anders Petersson
We study the half-plane problem for the elastic wave equation subject to a free surface boundary condition, with particular emphasis on almost incompressible materials. A normal mo…
Initial-boundary value problems for second order systems of partial differential equations
Heinz-Otto Kreiss, Omar E. Ortiz, N. Anders Petersson
We develop a well-posedness theory for second order systems in bounded domains where boundary phenomena like glancing and surface waves play an important role. Attempts have previo…
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…