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07-08E

07-08E


By icmp_admin - 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
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