Seminar Event Detail

Differential Equations

Date:  Thursday, April 05, 2018
Location:  4088 East Hall (4:00 PM to 5:00 PM)

Title:  On factorizations of differential operators and Hardy-Rellich-type inequalities

Abstract:   We will illustrate how factorizations of singular, even-order partial differential operators yield an elementary approach to classical inequalities of Hardy-Rellich-type. More precisely, using this factorization method, we will derive a general (and, apparently, new) inequality and demonstrate how particular choices of the parameters contained in this inequality yield well-known inequalities, such as the classical Hardy and Rellich inequalities as special cases. Actually, other special cases yield additional and apparently less well-known inequalities.
We will indicate that our method, in addition to being elementary, is quite flexible when it comes to a variety of generalized situations involving the inclusion of remainder terms and higher-order operators.
This is based on various joint work with L. Littlejohn, I. Michael, M. Pang, and R. Wellman.


Speaker:  Fritz Gesztesy
Institution:  Baylor University, Waco TX

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