@Article{JPDE-18-1,
author = {},
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/2005-JPDE-5344},
url = {https://global-sci.com/article/88511/existence-and-uniqueness-of-bv-solutions-for-the-porous-medium-equation-with-dirac-measure-as-sources}
}