## April 21, Dhruba R. Adhikari, Kennesaw State University

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- Category: 2016-2017

Title: Maximal Monotonicity and Existence of Nonzero Solutions

Abstract: The theory of maximal monotone operators in Banach spaces

plays an important role in the solvability of a large class of partial differential equations, particularly the ones in divergence form. The talk will begin with an introduction to maximal monotone operators in Hilbert spaces. An extension of the notion to Banach spaces will then be discussed. Among others, examples of maximal monotone operators which appear as the subdifferentials of certain convex functions will be given. Finally, an existence theorem for nonzero solutions of operator equations in Banach spaces will be presented.

## News 2017

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- Category: News

- Fast-track student
**Kenneth Davis**won a*Benjamin A. Gilman International Scholarship*sponsored by the US State Department and a*Freeman-ASIA Scholarship*sponsored by the Freeman Foundation. Kenneth will use these to study in Japan. Congratulations! - On March 24
**Ivan Mann**successfully defended his Ph.D. thesis*A Metrically Defined Uniformization Map of Planar Domains*. His studies were directed by Dr. L. Oversteegen. - Former Fast-track student
**Rachel Ejem**(now**Anthonia Carter**) has been selected for a Fulbright award to the United Kingdom. She will study Multidisciplinary Innovation in Newcastle upon Tyne. Congratulations. **Elizabeth Scribner**won one of three College of Arts and Sciences’ 2017 Dean's Awards on the Graduate level. Congratulations.