Certain classes of degenerate Sobolev-Galpern equations (Q1920099)

The author studies the existence and regularity of certain initial-boundary value problems for Sobolev-Galpern equations \(s_AAu_{tt}+ s_BBu_t+ s_CCu= f(t,x)\) in a cylindrical domain \(\Omega\times(0,T)\), \(\Omega\subset\mathbb{R}^n\). \(A\), \(B\), and \(C\) are elliptic-parabolic operators of second order and \((s_A,s_B,s_C)\in \{(-1,-1,-1),(0,1,1),(-1,1,1)\}\).