Nguyen Anh Triet, Vo Thi Tuyet Mai, Le Thi Phuong Ngoc, Nguyen Thanh Long
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.
Submitted May 21, 2018. Published October 4, 2018.
Math Subject Classifications: 35L20, 35L70, 35Q74, 37B25.
Key Words: Nonlinear Kirchhoff-Love equation; blow-up; exponential decay
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| Nguyen Anh Triet |
Department of Mathematics, University of Architecture of Ho Chi Minh City
196 Pasteur Str., Dist. 3, Ho Chi Minh City, Vietnam
| Vo Thi Tuyet Mai |
University of Natural Resources and Environment of Ho Chi Minh City
236B Le Van Sy Str., Ward 1, Tan Binh Dist.
Ho Chi Minh City, Vietnam
| Le Thi Phuong Ngoc |
University of Khanh Hoa
01 Nguyen Chanh Str., Nha Trang City, Vietnam
| Nguyen Thanh Long |
Department of Mathematics and Computer Science
VNUHCM - University of Science
227 Nguyen Van Cu Str., Dist. 5, Ho Chi Minh City, Vietnam
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