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Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption

✍ Scribed by Andrey Shishkov; Laurent Véron


Publisher
Springer
Year
2008
Tongue
English
Weight
413 KB
Volume
33
Category
Article
ISSN
0944-2669

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