Parabolic equations with measurable coefficients II |
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| Authors: | Doyoon Kim |
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| Affiliation: | Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Avenue, Ottawa, Ontario K1N 6N5, Canada |
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| Abstract: | We prove the existence and uniqueness of solutions in Sobolev spaces to second-order parabolic equations in non-divergence form. The coefficients (except one of them) of second-order terms of the equations are measurable in both time and one spatial variables, and VMO (vanishing mean oscillation) in other spatial variables. |
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| Keywords: | Second-order parabolic equations Vanishing mean oscillation Sobolev spaces |
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