Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

Hongjie Dong; N. V. Krylov

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arXiv · 1806.00077

Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

Hongjie Dong·N. V. Krylov

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Abstract

We prove weighted and mixed-norm Sobolev estimates for fully nonlinear elliptic and parabolic equations in the whole space under a relaxed convexity condition with almost VMO dependence on space-time variables. The corresponding interior and boundary estimates are also obtained.

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Hongjie Dong, N. V. Krylov. 2018-05-31. Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces. https://arxiv.org/abs/1806.00077

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