Oblique derivative problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge

Abstract

We consider an oblique derivative problem in a wedge for nondivergence parabolic equations with discontinuous in $t$ coefficients. We obtain weighted coercive estimates of solutions in anisotropic Sobolev spaces.

arXiv comment26 pages

References in corpus (1)

• Neumann problem for non-divergence elliptic and parabolic equations with BMO${}_x$ coefficients in weighted Sobolev spaces