The behavior of a solution to parabolic second-order equations in noncylindrical domains (Q1374940)

This note is concerned with studying the solvability of the first boundary value problem and the asymptotic behavior of solutions to parabolic second-order equations in non-cylindrical domains. In this work, the asymptotic behavior of the solutions under ``minimal'' requirements imposed on the coefficients of the equation is studied, and for model domains, the complete description of the weight spaces is given, where coercive \(L_p\)-estimates for equations with constant coefficients hold.