Special Session 19: 

Solvability of a $p$-parabolic equation with logarithmic nonlinearity

Shun Uchida
Oita University
Japan
Co-Author(s):    Hironari Miyoshi
Abstract:
Miyoshi--Tsutsumi (2016) derived a $p$-Laplacian type parabolic equation with logarithmic nonlinearity from the singular limit of a generalized Carleman model. In this talk, we discuss the existence of solution to the initial boundary value problem of this equation.