@article{8b83dfefcfcf44f39fff25a86bad167a,
title = "Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations",
abstract = "We consider a heat semigroup with an inverse square potential and prove critical dissipative estimates including the endpoint case. Some application to a nonlinear heat equation with an inverse square potential is also discussed.",
author = "Norisuke Ioku and Takayoshi Ogawa",
note = "Funding Information: The authors would like to express their sincere thanks to the reviewer for his/her suggestions. This work is partially supported by JSPS Grant-in-aid Scientific Research S # 25220702 , Challenging Research (Pioneering) # 17H06199 , JSPS Grant-in-Aid for Young Scientists B # 15K17575 , and the Sumitomo Foundation # 140825 . Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",
year = "2019",
month = feb,
day = "5",
doi = "10.1016/j.jde.2018.08.030",
language = "English",
volume = "266",
pages = "2274--2293",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "4",
}