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Existence of solutions to some degenerate parabolic equation associated with the -Laplacian in the critical case

✍ Scribed by Yamashita, Yoji; Yokota, Tomomi

Book ID
121503497
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
437 KB
Volume
93
Category
Article
ISSN
0362-546X

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The Number of Peaks of Nonnegative Solut
The Number of Peaks of Nonnegative Solutions to Some Nonlinear Degenerate Parabolic Equations
✍ Shigeru Sakaguchi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 260 KB

We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ‫ޒ‬ N for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.