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

Journal Article


Abstract


  • Using recent results in the theory of C0-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.

Publication Date


  • 2020

Citation


  • Ng, A. C. S., & Seifert, D. (2020). Optimal energy decay in a one-dimensional wave-heat system with infinite heat part. Journal of Mathematical Analysis and Applications, 482(2). doi:10.1016/j.jmaa.2019.123563

Scopus Eid


  • 2-s2.0-85072794675

Volume


  • 482

Issue


  • 2

Abstract


  • Using recent results in the theory of C0-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.

Publication Date


  • 2020

Citation


  • Ng, A. C. S., & Seifert, D. (2020). Optimal energy decay in a one-dimensional wave-heat system with infinite heat part. Journal of Mathematical Analysis and Applications, 482(2). doi:10.1016/j.jmaa.2019.123563

Scopus Eid


  • 2-s2.0-85072794675

Volume


  • 482

Issue


  • 2