Yu Li

(Department of Mathematics, University of Manitoba)

Introduction To Nonlocal Calculus

Date Thursday, March 7, 2019

I will describe the nonlocal calculus of Du, Gunzburger, Lehoucq and Zhou. The point of the calculus is to define a general class of operators that behave like the classical divergence, gradient and curl operators. To this end they satisfy analogues of the classical calculus theorems such as : integration by parts, Green's identities and Gauss' divergence theorem.