The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation

被引：16
|
作者：
Bucci, Francesca [1 ]
Eller, Matthias [2 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat, Via S Marta 3, I-50139 Florence, Italy
[2] Georgetown Univ, Dept Math & Stat, Georgetown 360,37th & O St NW, Washington, DC 20057 USA
来源：
COMPTES RENDUS MATHEMATIQUE | 2021年 / 359卷 / 07期
关键词：
3RD-ORDER; MEMORY;
D O I：
10.5802/crmath.231
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation is analyzed. With the focus on non-homogeneous boundary data, two approaches are offered: one is based on the theory of hyperbolic equations, while the other one uses the theory of operator semigroups. This is a mixed hyperbolic problem with a characteristic spatial boundary. Hence, the regularity results exhibit some deficiencies when compared with the non-characteristic case.
引用
收藏
页码：881 / 903
页数：23
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