EXPONENTIAL DECAY OF WEAK SOLUTION OF THE DIRICHLET PROBLEM FOR THE NONLINEAR KIRCHHOFF IN AN ANNULAR MEMBRANE
Corresponding Author(s) : Le Huu Ky Son
sonlhk@huit.edu.vn
HUIT Journal of Science,
Vol. 23 No. 2 (2023)
Abstract
This paper is devoted to the study of the nonlinear Kirchhoff wave equation in an annual associated with homogeneous Dirichlet boundary conditions. At first, by applying the Faedo-Galerkin, we prove existence and uniqueness of the solution of the problem considered. Next, by constructing Lyapunov functional, we establish a sufficient condition such that any global weak solution is general decay as
Keywords
Nonlinear Kirchhoff wave equation
exponential decay
Son, L. H. K., Quynh, D. T. N., & Thanh, L. T. M. (2023). EXPONENTIAL DECAY OF WEAK SOLUTION OF THE DIRICHLET PROBLEM FOR THE NONLINEAR KIRCHHOFF IN AN ANNULAR MEMBRANE. HUIT Journal of Science, 23(2). https://doi.org/10.62985/j.huit_ojs.vol23.no2.40
Download Citation
Endnote/Zotero/Mendeley (RIS)BibTeX