The investigation of the solvability of the multidimentional two-phase Stefan and nonstationary filtration Florin problems for the second order parabolic equations in weighted Hölder spaces of functions

Multidimentional two-phase Stefan ($k=1$) and nonstationary filtration Florin ($k=0$) problems for the second order parabolic equations in case when the free boundary is a graph of function $x_n=\Psi_k(x',t')$, $x'\in R^{n-1}$, $n\ge2$, $t\in(0,T)$, are studied. The unique solvability theorem in the weighted Hölder spaces of functions with the time power weight is proved, the coercive estimates for the solutions are obtained. Bibliography: 30 titles.