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Large time behavior of solutions to degenerate parabolic equations with absorption

✍ Scribed by Michael Winkler


Publisher
SP Birkhäuser Verlag Basel
Year
2001
Tongue
English
Weight
332 KB
Volume
8
Category
Article
ISSN
1021-9722

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Large-time behavior of smooth solutions
✍ Hui Zhang; Xiaohong Wang 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 617 KB

we study the large-time behavior of smooth solutions to a nonuniformly parabolic equation with bounded initial data. Decay rates of the solution in LP (p E [l, ~1) norm are obtained in Theorem 2.3. Meanwhile, we obtain that the solution converges to a self-similar solution only depending on the beha