On uniqueness of the positive Cauchy problem for a class of parabolic equations (Q2712806)

The author discusses (non-)uniqueness of (bounded) solutions of NEWLINE\[NEWLINE \rho(x)u_t =\text{div}\bigl(a(x)\nabla[G(u)]\bigr),\qquad x\in{\mathbb R}^N\times (0,T], NEWLINE\]NEWLINE where \(N\geq 1\), \(\rho,a\in C({\mathbb R}^N)\) are positive, and \(G\) is an increasing smooth function on \([0,\infty)\) with \(G(0)=0\). Various special cases and examples are addressed.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00046].