East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EXPONENTIAL BEHAVIOR FOR SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEM WITH EPSILON PERTURBATION

  • Daewook, Kim (Department of Mathematics and Education Seowon University)
  • Received : 2022.12.30
  • Accepted : 2023.01.17
  • Published : 2023.01.31
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Abstract

In this paper, we study the nonlinear hyperbolic system with epsilon perturbation stt - div[c(x)∇s] + (ε - 1)st = |s|γs. Under the conditions of c, γ and other assumptions, we prove the exponential behavior rates of the modified energy perturbation.

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Acknowledgement

The author would like to thank the anonymous referee who provided useful and detailed comments on a previous version of the manuscript.

References

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