Initial-Boundary Value Problem for Hyperbolic Equations
نویسنده
چکیده
where Ji = 0 for x0 < 0. The problem is to find necessary and sufficient conditions on B(x, B) such that the initial-boundary value problem (1), (2), (3) is well-posed. Note that all theorems that a;re formulated below will also apply to the case when (1) is a general hyperbolic equation or a hyperbolic system of equations of arbitrary order provided that all components of the characteristic cone are strictly convex (cf. [3]). Besides the Dirichlet and the Neumann conditions there are many boundary conditions that» are of interest in mathematical physics, for example, (a) the impedance boundary condition
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