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Article
On Existence and Uniqueness Results for the BBM Equation with Arbitrary Forcing Terms
International Journal of Mathematical Analysis (2008)
  • Timothy A. Smith, Embry-Riddle Aeronautical University
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
Disciplines
Publication Date
2008
Citation Information
Timothy A. Smith. "On Existence and Uniqueness Results for the BBM Equation with Arbitrary Forcing Terms" International Journal of Mathematical Analysis Vol. 2 Iss. 6 (2008) p. 281 - 287 ISSN: 1314-7579
Available at: http://works.bepress.com/timothy-smith/6/