Wave equations & energy
The focus of this work is apply Fourier analytic methods based on Parseval’s equality to the computation of kinetic and potential energy of solutions of initial boundary value problems for general wave type equations on a finite interval. As a consequence, an energy equipartion principle for the sol...
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Published in | AIMS mathematics Vol. 4; no. 3; pp. 463 - 481 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
AIMS Press
01.01.2019
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Subjects | |
Online Access | Get full text |
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Summary: | The focus of this work is apply Fourier analytic methods based on Parseval’s equality to the computation of kinetic and potential energy of solutions of initial boundary value problems for general wave type equations on a finite interval. As a consequence, an energy equipartion principle for the solution is obtained. Within our methods are some new results regarding eigenfunction expansions arising from regular Sturm-Liouville problems in Sobolev spaces. |
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ISSN: | 2473-6988 2473-6988 |
DOI: | 10.3934/math.2019.3.463 |