The regularity for a class of X-elliptic equations with lower order termLu＋vu=-∑i,j=1 mXj^＊（aij（x）Xiu）＋vu=μis studied, where X = {X1,..., Xm} is a family of locally Lipschitz continuous vector fields, v is in...The regularity for a class of X-elliptic equations with lower order termLu＋vu=-∑i,j=1 mXj^＊（aij（x）Xiu）＋vu=μis studied, where X = {X1,..., Xm} is a family of locally Lipschitz continuous vector fields, v is in certain Morrey type space and μ a nonnegative Radon measure. The HSlder continuity of the solution is proved when μ satisfies suitable growth condition, and a converse result on the estimate of μ is obtained when u is in certain HSlder class.展开更多
基金Supported by the China State Scholarship (2003833095)Department of Education of Zhejiang Province(20051495)
文摘The regularity for a class of X-elliptic equations with lower order termLu＋vu=-∑i,j=1 mXj^＊（aij（x）Xiu）＋vu=μis studied, where X = {X1,..., Xm} is a family of locally Lipschitz continuous vector fields, v is in certain Morrey type space and μ a nonnegative Radon measure. The HSlder continuity of the solution is proved when μ satisfies suitable growth condition, and a converse result on the estimate of μ is obtained when u is in certain HSlder class.
