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Physical Sciences and Mathematics Commons

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Mathematics

Selected Works

2017

Nonlinear

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Full-Text Articles in Physical Sciences and Mathematics

On Osgood's Criterion For Classical Wave Equations And Nonlinear Shallow Water Wave Equations, Timothy Smith, Greg Spradlin Nov 2017

On Osgood's Criterion For Classical Wave Equations And Nonlinear Shallow Water Wave Equations, Timothy Smith, Greg Spradlin

Timothy Smith

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.