Triet, Nguyen AnhMai, Vo Thi TuyetNgoc, Le Thi PhuongNguyen, Thanh Long2022-03-072022-03-072018-10-04Triet, 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. <i>Electronic Journal of Differential Equations, 2018</i>(167), pp. 1-26.1072-6691https://hdl.handle.net/10877/15461The 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.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear Kirchhoff-Love equationBlow-upExponential decayArticle