Nikolai Krylov

Seminars on Partial Differential Equations

March 21, 2013

Professor Krylov is the Ordway Professor of Mathematics at the University of Minnesota. His contributions to probability theory and differential equations have earned him the Steele Prize of the American Mathematical Society “for Seminal Contribution to Research.” He is a fellow of the American Academy of Arts and Sciences, corresponding fellow of the Royal Society of Edinburgh and is currently a member of the editorial board of several journals.  In addition to 250-plus research articles, Professor Krylov is the author of  nine mathematical monographs, unique for their clarity of exposition and their usefulness in future research.

An ersatz existence theorem for fully nonlinear parabolic equations without convexity assumptions

March 21, 2013
1 p.m.
Math Science 111

Prof. Krylov will talk on non-linear partial differential equations. These are the equations that mathematicians use to model real-life phenomena. The non-linearity is a significant but necessary complication. It makes the math much harder, but it seems to be the way the world really works.  It is always an important step when modeling a problem to make sure that the model admits solutions. This is the problem that Professor Krylov’s talks will address, presenting some of his state-of-the-art results.

On the existence of W^2_p solutions for fully nonlinear elliptic equations under relaxed convexity assumptions

March 22, 2013
11 a.m.
Math Common Room