On the Boundary Value Problem in a Dihedral Angle for Normally Hyperbolic Systems of First Order
نویسنده
چکیده
Some structural properties as well as a general threedimensional boundary value problem for normally hyperbolic systems of partial differential equations of first order are studied. A condition is given which enables one to reduce the system under consideration to a first-order system with the spliced principal part. It is shown that the initial problem is correct in a certain class of functions if some conditions are fulfilled. § 1. Some Structural Properties of Normally Hyperbolic Systems of First Order In the Euclidean space Rn+1, n ≥ 2, of independent variables (x, t), x = (x1, . . . , xn), we consider the system of partial differential equations of first order
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