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Volume 2, Issue 4
A Harnack Inequality for Degenerate Parabolic Equations

Shen Youjian

J. Part. Diff. Eq.,2(1989),pp.1-21

Published online: 1989-02

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  • Abstract
In this paper we apply the Moser iteration method to degenerate parabolic divergence structure equations. Under some conditions we get a Harnack inequality for weak solutions and from it derive Hölder estimates for weak solutions of uniformly degenerate parabolic equations and the continuity of weak solutions of non-uniformly degenerate parabolic equations.
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@Article{JPDE-2-1, author = {Shen Youjian}, title = {A Harnack Inequality for Degenerate Parabolic Equations}, journal = {Journal of Partial Differential Equations}, year = {1989}, volume = {2}, number = {4}, pages = {1--21}, abstract = { In this paper we apply the Moser iteration method to degenerate parabolic divergence structure equations. Under some conditions we get a Harnack inequality for weak solutions and from it derive Hölder estimates for weak solutions of uniformly degenerate parabolic equations and the continuity of weak solutions of non-uniformly degenerate parabolic equations. }, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5839.html} }
TY - JOUR T1 - A Harnack Inequality for Degenerate Parabolic Equations AU - Shen Youjian JO - Journal of Partial Differential Equations VL - 4 SP - 1 EP - 21 PY - 1989 DA - 1989/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5839.html KW - AB - In this paper we apply the Moser iteration method to degenerate parabolic divergence structure equations. Under some conditions we get a Harnack inequality for weak solutions and from it derive Hölder estimates for weak solutions of uniformly degenerate parabolic equations and the continuity of weak solutions of non-uniformly degenerate parabolic equations.
Shen Youjian. (1970). A Harnack Inequality for Degenerate Parabolic Equations. Journal of Partial Differential Equations. 2 (4). 1-21. doi:
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