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New generalized and functional separable solutions to non-linear delay reaction–diffusion equations

✍ Scribed by Polyanin, Andrei D.; Zhurov, Alexei I.

Book ID
122185994
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
300 KB
Volume
59
Category
Article
ISSN
0020-7462

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📜 SIMILAR VOLUMES

Evolution completeness of separable solu
Evolution completeness of separable solutions of non-linear diffusion equations in bounded domains
✍ V. A. Galaktionov 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

## Abstract As a basic example, we consider the porous medium equation (__m__ > 1) equation image where Ω ⊂ ℝ^__N__^ is a bounded domain with the smooth boundary ∂Ω, and initial data $u\_0 \thinspace \varepsilon L^{\infty} \cap L^{1}$. It is well‐known from the 1970s that the PME admits separable