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Cauchy Problem for Semilinear Parabolic Equation with Time-Dependent Obstacles: A BSDEs Approach

✍ Scribed by Klimsiak, Tomasz


Book ID
118060728
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
727 KB
Volume
39
Category
Article
ISSN
0926-2601

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Cauchy problem for semilinear wave equat
✍ Yavar Kian πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 313 KB

We establish the existence of a weak solution u of the semilinear wave equation where a(t, x) is equal to 1 outside a compact set with respect to x and a non-linear term f k which satisfies |f k (u)| ≀ C |u | k . For some non-trapping time- periodic perturbations a(t, x), we obtain the long time ex