Local behaviour of solutions to doubly nonlinear parabolic equations |
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| Authors: | Juha Kinnunen Tuomo Kuusi |
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| Affiliation: | (1) Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014 Oulu, Finland;(2) Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, 02015 HUT, Finland |
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| Abstract: | We give a relatively simple and transparent proof for Harnack’s inequality for certain degenerate doubly nonlinear parabolic equations. We consider the case where the Lebesgue measure is replaced with a doubling Borel measure which supports a Poincaré inequality. |
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