On the Dirichlet Problem for the System of Thermoelasticity with MicrotemperaturesOn the Dirichlet Problem for the System of ThermoelasticityV. Leonessa and A. Malaspina

被引：0

作者：

Vita Leonessa ^{[1
]}

Angelica Malaspina ^{[2
]}

机构：

[1] University of Basilicata,Department of Engineering

[2] University of Basilicata,Department of Basic and Applied Sciences

来源：

Mediterranean Journal of Mathematics | 2025年 / 22卷 / 4期

关键词：

Equilibrium theory; thermoelasticity with microtemperatures; potential theory; integral representations; 74B05; 31B10; 35C15;

D O I：

10.1007/s00009-025-02861-y

中图分类号：

学科分类号：

摘要：

This paper concerns the Dirichlet problem associated with the linear equilibrium theory of thermoelasticity with microtemperatures. Using an indirect boundary integral method, we express the solution of the boundary problem under study in terms of a single-layer thermoelastic potential. The representation obtained differs from that found in the literature, which is expressed by a double-layer thermoelastic potential. Our approach is based on the theory of reducible operators and the theory of differential forms.

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