Geodesic
On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains
Algebra i analiz, Tome 24 (2012) no. 1, pp. 53-94.

Voir la notice de l'article provenant de la source Math-Net.Ru

The solvability in the Sobolev spaces $W^{1,2}_p$, $p>d+1$, of the terminal-boundary value problem is proved for a class of fully nonlinear parabolic equations, including parabolic Bellman's equations, in bounded cylindrical domains, in the case of VMO “coefficients”. The solvability in $W^2_p$, $p>d$, of the corresponding elliptic boundary-value problem is also obtained.
Keywords: vanishing mean oscillation, fully nonlinear elliptic and parabolic equations, Bellman's equations. 
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Hongjie Dong; N. V. Krylov; Xu Li. On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains. Algebra i analiz, Tome 24 (2012) no. 1, pp. 53-94. http://geodesic.mathdoc.fr/item/AA_2012_24_1_a2/

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