@article{f917803823424dc2b1cbadb30defa869,
title = "Approximation of elliptic and parabolic equations with Dirichlet boundary conditions",
abstract = "We obtain an approximation result of the weak solutions to elliptic and parabolic equations with Dirichlet boundary conditions. We show that the weak solution can be obtained with a limit of approximations by regularizing the nonlinearities and approximating the domains.",
keywords = "approximations, nonlinear elliptic equations, nonlinear parabolic equations",
author = "Youchan Kim and Seungjin Ryu and Pilsoo Shin",
note = "Publisher Copyright: {\textcopyright} 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)",
year = "2023",
doi = "10.3934/mine.2023079",
language = "English",
volume = "5",
journal = "Mathematics In Engineering",
issn = "2640-3501",
publisher = "American Institute of Mathematical Sciences",
number = "4",
}