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Null controllability for a parabolic equation with nonlocal nonlinearities

✍ Scribed by Enrique Fernández-Cara; Juan Limaco; Silvano B. de Menezes


Book ID
113923046
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
238 KB
Volume
61
Category
Article
ISSN
0167-6911

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A nonlinear parabolic equation with a no
✍ Marián Slodička; Sofiane Dehilis 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 491 KB

A nonlinear parabolic problem with a nonlocal boundary condition is studied. We prove the existence of a solution for a monotonically increasing and Lipschitz continuous nonlinearity. The approximation method is based on Rothe's method. The solution on each time step is obtained by iterations, conve