Harnack Inequality and Applications to Solutions of Biharmonic Equations.

Authors :: Gohberg, I.
Alpay, D.
Arazy, J.
Atzmon, A.
Ball, J. A.
Ben-Artzi, A.
Bercovici, H.
Böttcher, A.
Clancey, K.
Coburn, L. A.
Curto, R. E.
Davidson, K. R.
Douglas, R. G.
Dijksma, A.
Dym, H.
Fuhrmann, P. A.
Gramsch, B.
Helton, J. A.
Kaashoek, M. A.
Kaper, H. G.
Source :: Partial Differential Equations & Functional Analysis; 2006, p1-26, 26p
Publication Year :: 2006
Abstract: We prove Harnack type inequalities for linear biharmonic equations containing a Kato potential. Various applications to local boundedness, Hölder continuity and universal estimates of solutions for biharmonic equations are presented. [ABSTRACT FROM AUTHOR]