07-08E

# 07-08E

By - Posted on 08 February 2012

UDC:
517.95
PACS:
02.30.Jr, 02.60.Lj

New proof of H\"{o}lder continuity of solutions to second order differential equations

D.V. Portnyagin

We propose new and, to our mind, a somewhat simpler proof of H\"{o}lder continuity of solutions to Dirichlet and Cauchy-Dirichlet problems for second order elliptic and parabolic equations in divergent form. A conditions on the right-hand sides of equations were somewhat lessen. The idea is to obtain $L^\infty -$estimates for a certain function constructed from the solution.

Year:
2007
Pages:
12