Electron. J. Diff. Equ., Vol. 2013 (2013), No. 115, pp. 1-8.

Blow-up of solutions for a nonlinear wave equation with nonnegative initial energy

Wenjun Liu, Yun Sun, Gang Li

Abstract:
In this article, we study a wave equation with nonlinear boundary damping and interior source term. We prove two blow-up results with nonnegative initial energy; thus we extend the blow-up results by Feng et al [5].

Submitted January 18, 2013. Published May 6, 2013.
Math Subject Classifications: 35B44, 35L10, 35L71.
Key Words: Boundary damping term; interior source term; nonlinear wave equation; nonnegative initial energy.

Show me the PDF file (208 KB), TEX file, and other files for this article.

Wenjun Liu
College of Mathematics and Statistics
Nanjing University of Information Science and Technology
Nanjing 210044, China
email: wjliu@nuist.edu.cn
Yun Sun
College of Mathematics and Statistics
Nanjing University of Information Science and Technology
Nanjing 210044, China
email: shirlly_@126.com
Gang Li
College of Mathematics and Statistics
Nanjing University of Information Science and Technology
Nanjing 210044, China
email: ligang@nuist.edu.cn

Return to the EJDE web page