Energy bounds for some nonstandard problems in partial differential equations

Date

2005

Author

Özer, Özge

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This thesis is a survey of the studies of Ames,Payne and Schaefer about the partial differential equations with nonstandard auxiliary conditions; this is where the values of the solution are prescribed as a combination of initial time t=0 and at a later time t=T. The first chaper is introductory and contains some historical background of the problem,basic definitions and theorems.In Chapter 2 energy bounds and pointwise bounds for the solutions of the nonstandard hyperbolic problems have been investigated and by means of energy bound the uniqueness of solutions is examined. Similar discussions for the nonstandard parabolic problems have been presented in Chapter 3. Lastly in Chapter 4 a new continuous dependence result has been derived for the nonstandard problem.

Subject Keywords

Differential equations.

URI

http://etd.lib.metu.edu.tr/upload/2/12606450/index.pdf
https://hdl.handle.net/11511/15484

Collections

Graduate School of Natural and Applied Sciences, Thesis