On Osgood's Criterion for Classical Wave Equations and Nonlinear Shallow Water Wave Equations

Authors

Timothy Smith, Embry-Riddle Aeronautical UniversityFollow
Greg Spradlin, Embry-Riddle Aeronautical UniversityFollow

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

2010

Abstract/Description

The problem on classical solutions for the wave equation and the BBM equation is considered. The equations are considered with a forcing term and sufficient conditions of solvability, existence and uniqueness are established.

Publication Title

International Journal of Mathematical Analysis

Publisher

Hikari Ltd.

Scholarly Commons Citation

Smith, T., & Spradlin, G. (2010). On Osgood's Criterion for Classical Wave Equations and Nonlinear Shallow Water Wave Equations. International Journal of Mathematical Analysis, 4(20). Retrieved from https://commons.erau.edu/publication/243