The Dirichlet Problem for Non-divergence Parabolic Equations with Discontinuous in Time Coefficients

Kozlov, V. A.; Nazarov, A. I.

The Dirichlet Problem for Non-divergence Parabolic Equations with Discontinuous in Time Coefficients

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Description

We establish pointwise estimates for the Green function to the Dirichlet problem for parabolic equation with coefficients measurable in time variable. Using these estimate we obtain coercive estimates for this problem in anisotropic weighted Lebesgue spaces and prove the solvability theorems.
34 pages