2017
DOI: 10.20944/preprints201712.0202.v1
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Higher Order Wave Equation with Logarithmic Source Term

Abstract: Abstract:In this paper we study the initial boundary value problem for logarithmic Higher Order Wave equation. Introducing the Logarithmic Sobolev inequality and using the combination of Galerkin method, we consider the theorem of existence of a global weak solution to problem for the initial boundary value problem of the logarithmic wave equation. By constructing an appropriate Lyapunov function, we obtain the decay estimates of energy for logarithmic Higher Order Wave equation. The proof of the main theorem … Show more

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Cited by 5 publications
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Section: Resultsmentioning
confidence: 95%
“…See the tables following. Similar questions arise with a few international students, whose real achievements we are in no position to assess or to fit into our other theories until we have tried to do more practical work on the basic predicted results and nature of international study relations in that issue area [10]. Out of several possible let me pick three specific questions to which we badly need the answers.…”
Section: Resultsmentioning
confidence: 95%
“…We have tried to do more practical work on the basic predicted results and nature of international study relations in that issue area [10]. Out of several possible let me pick three specific questions to which we badly need the answers.…”
Section: Resultsmentioning
confidence: 99%
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Section: Resultsmentioning
confidence: 99%
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Section: Application In Technical Sock Marketmentioning
confidence: 99%