Parameter Estimation for Damped Sine-Gordon Equation with Neumann Boundary Condition

dc.contributor.advisor	Gutman, Semion
dc.creator	Thapa, Narayan
dc.date.accessioned	2019-04-27T21:25:25Z
dc.date.available	2019-04-27T21:25:25Z
dc.date.issued	2010
dc.description.abstract	In this thesis we study an identification problem for physical parameters associated with damped sine-Gordon equation with Neumann boundary conditions. The existence, uniqueness, and continuous dependence of weak solution of sine- Gordon equations are established. The method of transposition is used to prove the Gateaux differentiability of the solution map. The Gateax differential of the solution map is characterized. The optimal parameters are established. Frechet differentiability of the cost functional J is established. Computational algorithm and numerical results are presented.
dc.format.extent	79 pages
dc.format.medium	application.pdf
dc.identifier	99176958902042
dc.identifier.uri	https://hdl.handle.net/11244/318645
dc.language	en_US
dc.relation.requires	Adobe Acrobat Reader
dc.subject	Parameter estimation
dc.subject	Neumann problem
dc.subject	Differential equations, Nonlinear
dc.subject	Differential equations, Hyperbolic
dc.subject	Differential equations, Partial
dc.thesis.degree	Ph.D.
dc.title	Parameter Estimation for Damped Sine-Gordon Equation with Neumann Boundary Condition
dc.type	text
dc.type	document
ou.group	College of Arts and Sciences::Department of Mathematics

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