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Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations

✍ Scribed by Steinar Evje; Kenneth Hvistendahl Karlsen

Publisher: Springer-Verlag
Year: 2000
Tongue: English
Weight: 317 KB
Volume: 86
Category: Article
ISSN: 0029-599X
DOI: 10.1007/s002110000156

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We study the existence and some estimates of solution of the initial- boundary value problem for some nonlinear degenerate parabolic equations \[ u_{t}=\Delta\left(|u|^{m-1} u\right)+\sum_{k=1}^{N} b_{k} \frac{\partial\left(|u|^{l} u\right)}{\partial x_{k}}-A(u)+f(x, t) \]