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Optimal control of a semilinear parabolic equation with singular arcs

✍ Scribed by Bonnans, J. Frédéric

Book ID
125416742
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
238 KB
Volume
29
Category
Article
ISSN
1055-6788

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Convergence rate for a semilinear parabolic equation with a singular nonlinearity
✍ Masaki Hoshino 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 943 KB

We study the behavior of solutions of the Cauchy problem for a semilinear parabolic equation with a singular power nonlinearity. It is known for a supercritical heat equation that if two solutions are initially close enough near the spatial infinity, then these solutions approach each other. In fact