Holder regularity for solutions of ultraparabolic equations in divergence form

Authors
Polidoro, S Ragusa, MA
Citation
S. Polidoro et Ma. Ragusa, Holder regularity for solutions of ultraparabolic equations in divergence form, POTENT ANAL, 14(4), 2001, pp. 341-350
Citations number
21
Categorie Soggetti
Mathematics
Journal title
POTENTIAL ANALYSIS
ISSN journal
09262601 → ACNP
Volume
14
Issue
4
Year of publication
2001
Pages
341 - 350
Database
ISI
SICI code
0926-2601(200106)14:4<341:HRFSOU>2.0.ZU;2-E
Abstract
We consider the second order differential equation [GRAPHICS] where (x,t)is an element ofR(N+1), 0 <m(0)less than or equal toN, the coeff icients a(i,j) belong to a suitable space of vanishing mean oscillation fun ctions VMOL and B=(b(i,j)) is a constant real matrix. The aim of this paper is to study interior regularity for weak solutions to the above equation a ssuming that F-j belong to a function space of Morrey type.