Uniqueness theorem for solution of the Cauchy problem for singular parabolic equations with discontinuous coefficients
The uniqueness is proved in the Täcklind class for the solution of the Cauchy problem for singular parabolic equations with discontinuous coefficients \(Lu-\partial u/\partial t=0\) where \[ L=\sum^{n}_{i,k=1}a_{ik}(t,x)\partial^ 2/\partial \chi_ i\partial \chi_ j+\sum b_ i(t,x)\partial /\partial \chi_ i-c(t,x). \] The operator L is elliptic, the \(b_ i(t,x)\) are bounded and \(c(t,x)<\lambda\).
scientific article; zbMATH DE number 4155007
scientific article