Abstract
We study the existence and energy decay of solutions for the strongly damped nonlinear beam equation. We apply a method based on Nakao method to show that the solution decays exponentially, and to obtain precise estimates of the constants in the estimates. Finally, we discuss its applications in moving boundary.
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Kim, J.A., Lee, K. Energy Decay for the Strongly Damped Nonlinear Beam Equation and Its Applications in Moving Boundary. Acta Appl Math 109, 507–525 (2010). https://doi.org/10.1007/s10440-008-9330-3
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DOI: https://doi.org/10.1007/s10440-008-9330-3