Global in time solutions to quasilinear telegraph equations involving operators with time delay
نویسندگان
چکیده
منابع مشابه
Global solutions of quasilinear wave equations
has a global solution for all t ≥ 0 if initial data are sufficiently small. Here the curved wave operator is ̃g = g ∂α∂β, where we used the convention that repeated upper and lower indices are summed over α, β = 0, 1, 2, 3, and ∂0 = ∂/∂t, ∂i = ∂/∂x i, i = 1, 2, 3. We assume that gαβ(φ) are smooth functions of φ such that gαβ(0)= mαβ , where m00=−1, m11= m22= m33=1 and mαβ= 0, if α 6=β. The resul...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1991
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1991.104482