@Article{JPDE-3-49,
author = {Yin Jingxue},
title = {On a Class of Quasilinear Parabolic Equations of Second Order with Double-degeneracy},
journal = {Journal of Partial Differential Equations},
year = {1990},
volume = {3},
number = {4},
pages = {49--64},
abstract = { In this paper we study the first boundary value problem for nonlinear diffusion equation \frac{&#8706u}{&#8706t} + \frac{&#8706}{&#8706x}f(u) = \frac{&#8706}{&#8706x}A(\frac{&#8706}{&#8706x}B(u)) whereA(s) = &#8747&sup1_0a(&#963)d&#963, B(s) = &#8747&sup1_0b(&#963)d&#963 with a(s) &#8805 0, b(s) &#8805 0. We prove the existence of BV solutions under the much general structural conditions lim_{s &#8594 + &#8734} A(s) = +&#8734, lim_{s &#8594 - &#8734} A(s) = -&#8734 Moreover, we show the uniqueness without any structural conditions.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5813.html}
}