@article{Misawa2023, 
author = {Masashi Misawa and Kenta Nakamura and Yoshihiko Yamaura},
title = {A volume constraint problem for the nonlocal doubly nonlinear parabolic equation},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {6},
pages = {1-26},
keywords = {nonlocal p-Sobolev flow, nonlinear intrinsic scaling, doubly nonlinear equations},
url = {https://www.sciopen.com/article/10.3934/mine.2023098},
doi = {10.3934/mine.2023098},
abstract = {We consider a volume constraint problem for the nonlocal doubly nonlinear parabolic equation, called the nonlocal    p-Sobolev flow, and introduce a nonlinear intrinsic scaling, converting a prototype nonlocal doubly nonlinear parabolic equation into the nonlocal    p-Sobolev flow. This paper is dedicated to Giuseppe Mingione on the occasion of his 50th birthday, who is a maestro in the regularity theory of PDEs.}
}