On solutions of some nonlinear degenerate parabolic equations

✍ Scribed by Tokumori Nanbu

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 350 KB
• Volume: 47
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(01)00301-7

✦ Synopsis

We study the existence and some estimates of solution of the initial- boundary value problem for some nonlinear degenerate parabolic equations

[
u_{t}=\Delta\left(|u|^{m-1} u\right)+\sum_{k=1}^{N} b_{k} \frac{\partial\left(|u|^{l} u\right)}{\partial x_{k}}-A(u)+f(x, t)
]