Optimal energy decay in a one-dimensional wave-heat system with infinite heat part

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:482

Article

Ng, Abraham C. S.¹  Seifert, David² 

[1] St Edmund Hall,Queens Lane, Oxford OX1 4AR, England

[2] Newcastle Univ, Sch Math Stat & Phys, Herschel Bldg, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

关键词: Wave equation;    Heat equation;    Coupled;    Energy decay;    C-0-semigroups;    Resolvent estimates;   

DOI  :  10.1016/j.jmaa.2019.123563

来源: Elsevier

【 摘 要 】

Using recent results in the theory of C-0-semigroups due to Batty et al. (2016) [5] we study energy decay in a one-dimensional coupled wave-heat system with finite wave part and infinite heat part. Our main result provides a sharp estimate for the rate of energy decay of a certain class of classical solutions. The present paper can be thought of as a natural sequel to a recent work by Batty et al. (2016) [6], which studied a similar wave-heat system with finite wave and heat parts using a celebrated result due to Borichev and Tomilov. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free