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Existence, uniqueness and regularity for nonlinear parabolic equations with nonlocal terms

✍ Scribed by Nathaël Alibaud


Publisher
SP Birkhäuser Verlag Basel
Year
2007
Tongue
English
Weight
374 KB
Volume
14
Category
Article
ISSN
1021-9722

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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