<p>In the present work, we are mainly concerned with some estimates related to the energy functional, in particular some uniform estimates of the solution decay rates. In this sense, we study the stable asymptotic behavior in terms of natural energy associated with the solution of a new class of fractional quasilinear hyperbolic equations with variable sources.</p>

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Fractional Quasilinear Hyperbolic Equations with Variable Sources

  • Jiabin Zuo,
  • J. Vanterler da C. Sousa,
  • M. A. Pulido

摘要

In the present work, we are mainly concerned with some estimates related to the energy functional, in particular some uniform estimates of the solution decay rates. In this sense, we study the stable asymptotic behavior in terms of natural energy associated with the solution of a new class of fractional quasilinear hyperbolic equations with variable sources.