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

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

2009-04-15

arxiv.org/abs/0904.2281v1

Mathematics

Analysis of PDEs

34 pages

Scientific paper

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.

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