Academic Report
Title: Blow-up problem for parabolic equations with nonlocal boundary conditions
Reporter: Prof. Alexander. Gladkov (Belarusian State University)
Time: Apirl 10, 2019 (Wednesday) AM 10:00-11:00
Location: A1101# room, Innovation Park Building
Contact: Prof. LI Fengquan (tel:15164005929)
Abstract: We will consider parabolic equations and systems of parabolic equations with time-depend coefficients and nonlinear nonlocal boundary conditions and nonnegative initial data. We prove global existence result and give some criteria on this problems which determine whether the solutions blow up in finite time for large or for all nontrivial initial data. The results depend on the behavior of variable coefficients ast goes to infty.For some problems we show that under certain conditions blow-up occurs only on the boundary.
The brief introduction to the reporter: Alexander Gladkov is the chairman and professor of the Department of Mathematics at the National University of Belarus. His main research fields are nonlinear elliptic equation, parabolic equation and ordinary differential equation.
