Existence and asymptotic behavior of Radon measure-valued solutions for a class of nonlinear parabolic equations
Existence and asymptotic behavior of Radon measure-valued solutions for a class of nonlinear parabolic equations
Abstract In this paper we address the weak Radon measure-valued solutions associated with the Young measure for a class of nonlinear parabolic equations with initial data as a bounded Radon measure. This problem is described as follows: $$ \textstyle\begin{cases} u_{t}=\alpha u_{xx}+\beta [\varphi (u) ]_{xx}+f(u) &\text{in} \ Q:=\Omega \times (0,T), \\ …