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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The research is supported by the Finnish Academy of Science and Letters, the Vilho, Yrjö and Kalle Väisälä Foundation.
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Kinnunen, J., Kuusi, T. Local behaviour of solutions to doubly nonlinear parabolic equations. Math. Ann. 337, 705–728 (2007). https://doi.org/10.1007/s00208-006-0053-3
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DOI: https://doi.org/10.1007/s00208-006-0053-3