Open Access Research

Existence of solutions to strongly damped plate or beam equations

Hong Luo1*, Li-mei Li1 and Tian Ma2

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

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Boundary Value Problems 2012, 2012:76 doi:10.1186/1687-2770-2012-76

Published: 20 July 2012

Abstract

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.

Keywords:
existence; solution; plate; beam; strongly damped