Existence, blow-up and exponential decay for Kirchhoff-Love equations with Dirichlet conditions
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The article concerns the initial boundary value problem for a nonlinear Kirchhoff-Love equation. First, by applying the Faedo-Galerkin, we prove existence and uniqueness of a solution. Next, by constructing Lyapunov functional, we prove a blow-up of the solution with a negative initial energy, and establish a sufficient condition for the exponential decay of weak solutions.
CitationTriet, N. A., Mai, V. T. T., Ngoc, L. T. P., & Nguyen, T. L. (2018). Existence, blow-up and exponential decay for Kirchhoff-Love equations with Dirichlet conditions. Electronic Journal of Differential Equations, 2018(167), pp. 1-26.
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