# Seminar Series

## Upcoming Seminars for Fall Semester

Unless otherwise noted, the Fall Semester Seminars will be held on Fridays from 11:00am - 11:50am in PB 390.

**December 5, 2014; 11:00am in PB 390: Marat Markin (Fresno State)**

**Title: **On an Abstract Evolution Equation with a Normal Operator: Weak Solutions and Their Differentiability.

**Abstract: **We shall see that the use of the well-known exponential formula

y(t) = exp(tA)f

can be naturally extended to the case of a *normal operator* A in a complex Hilbert space H to describe *generalized (weak) solutions* of the evolution equation

y'(t) = Ay(t) t ≥ 0.

We are also going to outline proofs of conditions necessary and sufficient for the *weak solutions*, which a priori need not be differentiable, to be *infinite differentiable* on [0,∞) or (0,∞) and observe certain interesting effects of their *smoothness improvement*.

The talk represents a characteristic segment of the reporter's research.

**Soon...**

12/20 Winter break

**If you need a disability-related accommodation or wheelchair access information, please contact the Mathematics Department at 559.278.2992 or e-mail** math.office@csufresno.edu. **Requests should be made at least one week in advance of the event.**

## Archived Seminars

• AY2014/15 • AY2013/14 • AY2012/13 • AY2011/12

• AY2010/11 • AY2009/10 • AY2008/09 • AY2007/08

• AY2006/07