Parabolic and Elliptic Systems with VMO Coefficients
Dong, Hongjie ; Kim, Doyoon
Methods Appl. Anal., Tome 16 (2009) no. 1, p. 365-388 / Harvested from Project Euclid
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We consider second order parabolic and elliptic systems with leading coefficients having the property of vanishing mean oscillation (VMO) in the spatial variables. An $L_q − L_p$ theory is established for systems both in divergence and non-divergence form.
Publié le : 2009-09-15
Classification:  Second order parabolic and elliptic systems,  vanishing mean oscillation (VMO) coefficients,  $L_q − L_p$ estimates,  Sobolev spaces,  35K40,  35J47,  35R05,  35D35 
@article{1273002798,
     author = {Dong, Hongjie and Kim, Doyoon},
     title = {Parabolic and Elliptic Systems with VMO Coefficients},
     journal = {Methods Appl. Anal.},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 365-388},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1273002798}
}

Dong, Hongjie; Kim, Doyoon. Parabolic and Elliptic Systems with VMO Coefficients. Methods Appl. Anal., Tome 16 (2009) no. 1, pp.  365-388. http://gdmltest.u-ga.fr/item/1273002798/