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.
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 firstname.lastname@example.org. Requests should be made at least one week in advance of the event.