@article{6ecfda6fc8504b8384063d8c99e6d9c6,
title = "Weak Harnack inequality for fully nonlinear uniformly parabolic equations with unbounded ingredients and applications",
abstract = " The weak Harnack inequality for L p -viscosity supersolutions of fully nonlinear second-order uniformly parabolic partial differential equations with unbounded coefficients and inhomogeneous terms is proved. It is shown that H{\"o}lder continuity of L p -viscosity solutions is derived from the weak Harnack inequality for L p -viscosity supersolutions. The local maximum principle for L p -viscosity subsolutions and the Harnack inequality for L p -viscosity solutions are also obtained. Several further remarks are presented when equations have superlinear growth in the first space derivatives. ",
keywords = "Fully nonlinear parabolic equations, Harnack inequality, Maximum principle, Viscosity solutions",
author = "Shigeaki Koike and Andrzej {\'S}wi{\c e}ch and Shota Tateyama",
note = "Funding Information: S. Koike is supported in part by Grant-in-Aid for Scientific Research (Nos. 16H06339 , 16H03948 , 16H03946 ) of Japan Society for the Promotion of Science . S. Tateyama is supported by Grant-in-Aid for Japan Society for the Promotion of Science Research Fellow 16J02399 . Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",
year = "2019",
month = aug,
doi = "10.1016/j.na.2019.03.005",
language = "English",
volume = "185",
pages = "264--289",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier Limited",
}