AREA INTEGRAL ESTIMATES FOR SOLUTIONS AND NORMALIZED ADJOINT SOLUTIONS TO NONDIVERGENCE FORM ELLIPTIC-EQUATIONS

Authors
ESCAURIAZA L KENIG CE
Citation
L. Escauriaza et Ce. Kenig, AREA INTEGRAL ESTIMATES FOR SOLUTIONS AND NORMALIZED ADJOINT SOLUTIONS TO NONDIVERGENCE FORM ELLIPTIC-EQUATIONS, Arkiv for matematik, 31(2), 1993, pp. 275-296
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Arkiv for matematik → ACNP
ISSN journal
00042080
Volume
31
Issue
2
Year of publication
1993
Pages
275 - 296
Database
ISI
SICI code
0004-2080(1993)31:2<275:AIEFSA>2.0.ZU;2-F
Abstract
We show that the L(p) norms, 0<p<infinity, of the nontangential maxima l function and area integral of solutions and normalized adjoint solut ions to second order nondivergence form elliptic equations, are compar able when integrated on the boundary of a Lipschitz domain with respec t to measures, which are respectively A(infinity) with respect to the corresponding harmonic measure or normalized harmonic