2026-09-21T23:14:37Zhttps://krex.k-state.edu/server/oai/request

oai:krex.k-state.edu:2097/181862026-09-02T16:14:22Zcom_2097_1col_2097_4

Clemens, Jason 2014-08-08T13:27:09Z 2014-08-08T13:27:09Z 2014-08-08 2014 August http://hdl.handle.net/2097/18186 The goal for this paper is to present material from Gilbarg and Trudinger’s Elliptic Partial Differential Equations of Second Order chapter 7 on Sobolev spaces, in a manner easily accessible to a beginning graduate student. The properties of weak derivatives and there relationship to conventional concepts from calculus are the main focus, that is when do weak and strong derivatives coincide. To enable the progression into the primary focus, the process of mollification is presented and is widely used in estimations. Imbedding theorems and compactness results are briefly covered in the final sections. Finally, we add some exercises at the end to illustrate the use of the ideas presented throughout the paper. Master of Science Masters Department of Mathematics Marianne Korten en_US Kansas State University © the author. This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). http://rightsstatements.org/vocab/InC/1.0/ Sobolev spaces Mathematics (0405) Sobolev spaces Report open.access