Time estimates for the Cauchy problem for a third-order hyperbolic equation
نویسندگان
چکیده
منابع مشابه
Time Estimates for the Cauchy Problem for a Third-order Hyperbolic Equation
A classical solution is considered for the Cauchy problem: (utt −∆u)t +utt − α∆u = f(x,t), x ∈ R3, t > 0; u(x,0) = f0(x), ut(x,0) = f1(x), and utt(x) = f2(x), x ∈R3, where α= const, 0<α< 1. The above equation governs the propagation of time-dependent acoustic waves in a relaxingmedium. A classical solution of this problem is obtained in the form of convolutions of the right-hand side and the in...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2003
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171203204361