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

Timothy Smith; Greg Spradlin

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

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	American English
Journal	International Journal of Mathematical Analysis
Volume	4
State	Published - Jan 1 2010

Keywords

KdV
hyperbolic periodic
partial
nonlinear

Disciplines

Mathematics

Access to Document

On Osgoods Criterion for Classical Wave Equations and NonlinearFinal published version, 204 KBLicense: CC BY
On Osgoods Criterion for Classical Wave Equations and NonlinearFinal published version, 204 KBLicense: CC BY

Cite this

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title = "On Osgood's Criterion for Classical Wave Equations and Nonlinear Shallow Water Wave Equations",

abstract = " 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.",

keywords = "KdV, hyperbolic periodic, partial, nonlinear",

author = "Timothy Smith and Greg Spradlin",

year = "2010",

month = jan,

day = "1",

language = "American English",

volume = "4",

journal = "International Journal of Mathematical Analysis",

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TY - JOUR

T1 - On Osgood's Criterion for Classical Wave Equations and Nonlinear Shallow Water Wave Equations

AU - Smith, Timothy

AU - Spradlin, Greg

PY - 2010/1/1

Y1 - 2010/1/1

N2 - 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.

AB - 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.

KW - KdV

KW - hyperbolic periodic

KW - partial

KW - nonlinear

UR - https://commons.erau.edu/publication/243

M3 - Article

SN - 1314-7579

VL - 4

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

ER -

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

Abstract

Keywords

Disciplines

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