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Nonlocal reaction—diffusion equations and nucleation

✍ Scribed by RUBINSTEIN, JACOB; STERNBERG, PETER


Book ID
118051842
Publisher
Oxford University Press
Year
1992
Tongue
English
Weight
658 KB
Volume
48
Category
Article
ISSN
0272-4960

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✍ M. Anguiano; P.E. Kloeden; T. Lorenz 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 385 KB

The existence of a global attractor in L 2 (Ω) is established for a reaction-diffusion equation on a bounded domain Ω in R d with Dirichlet boundary conditions, where the reaction term contains an operator F : L 2 (Ω) → L 2 (Ω) which is nonlocal and possibly nonlinear. Existence of weak solutions i