Special Session 102: 

Analyticity and large time behavior of solutions for the Burgers equation with the critical dissipation

Tsukasa Iwabuchi
Tohoku University
Japan
Co-Author(s):    Tsukasa Iwabuchi
Abstract:
We study the Cauchy problem of the Burgers equation, where the derivative order of the linear part and the nonlinear part are balanced. We will discuss the space-time analyticity of solutions and the large time behavior that smooth solutions behave like the Poisson kernel as time tends to infinity.