Title
Elliptic Differential Equations with Coefficients Measurable with Respect to One Variable and VMO with Respect to the Others
Abstract
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 Kim1216.28
N. V. Krylov2511.53