Special Session 10: Sharp inequalities and nonlinear differential equations
Non-uniqueness for a critical heat equation in two dimensions with singular data
Norisuke Ioku
Tohoku University
Japan
Co-Author(s):    Yohei Fujishima, Bernhard Ruf, Elide Terraneo
Abstract:
We consider non-uniqueness for nonlinear heat equations in two dimensions. For higher dimensions, uniqueness and non-uniqueness is well understood by Brezis-Cazenave and Ni-Sacks. In this talk we focus on exponential nonlinearities as a critical growth in two dimensions and reveal that non-uniqueness result arises from the singular stationary solution.
Go Back