Title | ||
---|---|---|
Elliptic Differential Equations with Coefficients Measurable with Respect to One Variable and VMO with Respect to the Others |
Abstract | ||
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We prove the unique solvability of second order elliptic equations in nondivergence form in Sobolev spaces. The coefficients of the second order terms are measurable in one variable and VMO in other variables. From this result, we obtain the weak uniqueness of the Martingale problem associated with the elliptic equations. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1137/050646913 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
second order equations,vanishing mean oscillation,Martingale problem | Differential equation,Uniqueness,Martingale (probability theory),Oscillation,Mathematical optimization,Mathematical analysis,Measure (mathematics),Sobolev space,Partial differential equation,Mathematics,Elliptic curve | Journal |
Volume | Issue | ISSN |
39 | 2 | 0036-1410 |
Citations | PageRank | References |
2 | 1.16 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Do-Yoon Kim | 1 | 21 | 6.28 |
N. V. Krylov | 2 | 5 | 11.53 |