Showing papers in "Mathematische Zeitschrift in 1993"

Mixed problems for fully nonlinear hyperbolic equations

Abstract: 1 _< i _< n, the summation convention is used, Here I < j < N , f 2 c l R " is a bounded domain with smooth boundary F, v the outer normal, f2T = [0, T [ x f2 and FT = [0, T [ x F, 0 < T < oo. F and g satisfy some natural conditions which assure hyperbolicity. The main result is concerned with classical solutions for small t. Assume that Uoe WS+l(f2) N and ul e WS(f2) N, where s is an integer bigger than 1 + n/2. This implies Uo e C2(0 ) N. Under suitable assumptions the following holds: