Research in the field of inequalities and differential equations on Lie groups and manifolds has steadily evolved, bridging classical analysis with modern geometric methods. At its core, the subject ...

PhotoMath is a nifty little app. You point your phone camera at a math equation, and it will give you the answer and show you all the steps to solve this particular equation. Following its huge ...

The information presented here is intended to describe the course goals for current and prospective students as well as others who are interested in our courses. It is not intended to replace the ...

Sharp upper and lower bounds are derived for the solution of renewal equations. These include as special cases exponential inequalities, some of which have been derived for specific renewal equations.

In this paper we establish a uniform Harnack inequality for a class of degenerate equations whose prototype is Kolmogorov's equations in $R^3: D_{yy} u - yD_zu - D_tu ...