Hyperbolic Equations with Growing Coefficients in Unbounded Domains

被引：0

作者：

Filinovskii A.V. ^{[1
]}

机构：

[1] N. E. Bauman Moscow State Technical University, Moscow

来源：

Journal of Mathematical Sciences | 2014年 / 197卷 / 3期

关键词：

Wave Equation; Weak Solution; Hyperbolic Equation; Initial Function; Helmholtz Equation;

D O I：

10.1007/s10958-014-1725-2

中图分类号：

学科分类号：

摘要：

Let Ω ⊂ ℝn, n ≥ 2, be an unbounded domain with a smooth (possibly noncompact) star-shaped boundary Γ. For the first mixed problem for a hyperbolic equation with an unbounded coefficient with power growth at infinity, the large-time behavior of the solutions is studied. Estimates for the resolvent of the spectral problem are obtained for various values of the parameters. © 2014 Springer Science+Business Media New York.

引用

页码：435 / 446

页数：11

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