Methods and Applications of Analysis
Volume 16 (2009)
Parabolic and Elliptic Systems with VMO Coefficients
Pages: 365 – 388
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.
Second order parabolic and elliptic systems; vanishing mean oscillation (VMO) coefficients; $L_q − L_p$ estimates; Sobolev spaces
2010 Mathematics Subject Classification
35D35, 35J47, 35K40, 35R05