Unique existence of evolution equations of hyperbolic type with countably many singular of degenerate points

Unique existence of evolution equations of hyperbolic type with countably many singular of degenerate points
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具有可数个奇异简并点的双曲型演化方程的唯一存在性

DOI:
10.1016/0022-0396(89)90156-3
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发表时间:
1989
影响因子:
2.4
通讯作者:
T. Yamazaki
T. Yamazaki
中科院分区:
数学2区
文献类型:
--
作者:
T. Yamazaki

文献摘要

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设H是一个希尔伯特空间设n是一个谱从下有界的自伴随算子。设t为任意实数,从-1 d到< 1。研究双曲型抽象奇异或退化演化方程u ' ' (t)+ Q (t) Au (t)= 0 on (to, 11)的唯一可解性。
Let H be a Hilbert space and let n be a self-adjoint operator with spectrum bounded from below. Let t,, be an arbitrary real number with-1 d to< 1. This paper is concerned with the unique solvability of the abstract singular or degenerate evolution equation of the hyperbolic type, u”(t)+ Q (t) Au (t)= 0 on (to, 11,