@Article{JPDE-18-35,
author = {Hongjun Yuan  and Yang Jin },
title = {Existence and Uniqueness of BV Solutions for the Porous Medium Equation with Dirac Measure as Sources},
journal = {Journal of Partial Differential Equations},
year = {2005},
volume = {18},
number = {1},
pages = {35--58},
abstract = {<p>The aim of this paper is to discuss the existence and uniqueness of solutions for the porous medium equation u_t - (u^m)_{xx} = μ(x) in (x, t) ∈ \mathbb{R} × (0, +∞) with initial condition u(x, 0) = u_0(x) x ∈ (-∞, +∞), where μ(x) is a nonnegative finite Radon measure, u_0 ∈ L¹(\mathbb{R}) ∩ L∞(\mathbb{R}) is a nonnegative function, and m &gt; 1, and \mathbb{R} ≡ (-∞, +∞).</p>},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5344.html}
}