Research
Existence of solutions to strongly damped plate or beam equations
Author affiliations
1 College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, 610066, China
2 College of Mathematics, Sichuan University, Chengdu, Sichuan, 610041, China
Citation and License
Boundary Value Problems 2012, 2012:76 doi:10.1186/1687-2770-2012-76
Published: 20 July 2012Abstract
In this paper, we study a strongly damped plate or beam equation. By using spatial sequence techniques and energy estimate methods, we obtain an existence theorem of the solution to abstract strongly damped plate or beam equation and to a nonlinear plate or beam equation.
MSC: 35L05, 35L20, 35D30, 35D35.
