LACK OF GENERATION OF STRONGLY CONTINUOUS SEMIGROUPS BY THE DAMPED WAVE OPERATOR ON H X H (OR - THE LITTLE ENGINE THAT COULDNT)

被引：6

作者：

BALAKRISHNAN, AV ^{[1
]}

TRIGGIANI, R ^{[1
]}

机构：

[1] UNIV VIRGINIA, CHARLOTTESVILLE, VA 22903 USA

来源：

APPLIED MATHEMATICS LETTERS | 1993年 / 6卷 / 06期

关键词：

D O I：

10.1016/0893-9659(93)90074-W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that (in the unbounded case) the wave operator, or more generally, a wave operator with damping strictly less than the basic operator does not generate a strongly continuous semigroup on the product space H x H, contrary to a common belief.

引用

页码：33 / 37

页数：5

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