07-08E
07-08E
UDC:
517.95
PACS:
02.30.Jr, 02.60.Lj New proof of H\"{o}lder continuity of solutions to second order differential equations
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.
Submitted:
Nonlinear Analysis TM\&A
Year:
2007
Pages:
12
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