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C∞-solutions of some degenerate parabolic equations

✍ Scribed by Mitsuharu Ótani; Yoshie Sugiyama

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
339 KB
Volume
47
Category
Article
ISSN
0362-546X

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On solutions of some nonlinear degenerat
On solutions of some nonlinear degenerate parabolic equations
✍ Tokumori Nanbu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 350 KB

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