On Existence and Uniqueness Results for the BBM Equation with Arbitrary Forcing Terms

Timothy A. Smith

On Existence and Uniqueness Results for the BBM Equation with Arbitrary Forcing Terms

Mathematics

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

Abstract

The problem of classical solutions for the regularized long-wave equation is considered where various additional forcing terms are introduced which are often required for physical modifications in the wave theory. Sufficient conditions of solvability and existence are established and then these conditions are related to the structure of the forcing terms under consideration.

Original language	American English
Journal	International Journal of Mathematical Analysis
Volume	2
State	Published - 2008

Keywords

KdV
BBM
evolution equations
partial
nonlinear

Disciplines

Applied Mathematics

Access to Document

smithIJMA5-8-2008.pdfFinal published version, 84.8 KBLicense: Unspecified

Cite this

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title = "On Existence and Uniqueness Results for the BBM Equation with Arbitrary Forcing Terms",

abstract = " The problem of classical solutions for the regularized long-wave equation is considered where various additional forcing terms are introduced which are often required for physical modifications in the wave theory. Sufficient conditions of solvability and existence are established and then these conditions are related to the structure of the forcing terms under consideration.",

keywords = "KdV, BBM, evolution equations, partial, nonlinear",

author = "Smith, {Timothy A.}",

year = "2008",

language = "American English",

volume = "2",

journal = "International Journal of Mathematical Analysis",

issn = "1314-7579",

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T1 - On Existence and Uniqueness Results for the BBM Equation with Arbitrary Forcing Terms

AU - Smith, Timothy A.

PY - 2008

Y1 - 2008

N2 - The problem of classical solutions for the regularized long-wave equation is considered where various additional forcing terms are introduced which are often required for physical modifications in the wave theory. Sufficient conditions of solvability and existence are established and then these conditions are related to the structure of the forcing terms under consideration.

AB - The problem of classical solutions for the regularized long-wave equation is considered where various additional forcing terms are introduced which are often required for physical modifications in the wave theory. Sufficient conditions of solvability and existence are established and then these conditions are related to the structure of the forcing terms under consideration.

KW - KdV

KW - BBM

KW - evolution equations

KW - partial

KW - nonlinear

M3 - Article

SN - 1314-7579

VL - 2

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

ER -