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Local Estimates for Parabolic Difference Operators

✍ Scribed by H.J. Kuo; N.S. Trudinger

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
441 KB
Volume
122
Category
Article
ISSN
0022-0396

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✦ Synopsis

We prove a local maximum principle and weak Harnack inequality for parabolic difference inequalities analogous to previous work on elliptic difference inequalities. As applications, we have discrete analogues of the HΓΆlder and Harnack estimates of Krylov and Safonov and results pertaining to the stability of discrete scheme for nonlinear parabolic problems, extending previous work on elliptic equations.

o: 1995 Academic Press, Inc

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