This paper is concerned with an initial boundary value problem for strictly convex conservation laws whose weak entropy solution is in the piecewise smooth solution class consisting of finitely many discontinuities. By the structure of the weak entropy solution of the corresponding initial value problem and the boundary entropy condition developed by Bardos–Leroux–Nedelec, we give a constructio...

We prove the well-posedness of initial boundary value problem for Einstein equations with sole condition requirement that timelike is totally geodesic. This provides first result this specific geometric and setting which uniqueness in original sense Friedrich holds problem. Our proof relies on ADM system vacuum equations, formulated respect to a parallelly propagated orthonormal frame along geo...