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Energy estimates and uniqueness of the weak solutions of initial-boundary value problems for semilinear hyperbolic systems

✍ Scribed by C. Făciu; N. Simion


Publisher
Springer
Year
2000
Tongue
English
Weight
261 KB
Volume
51
Category
Article
ISSN
0044-2275

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Weak solutions of the initial-boundary v
✍ Naoufel Ben Abdallah 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 979 KB

## Abstract In this paper we show the existence of a weak solution of the boundary value problem for the time dependent Vlasov–Poisson system. First, we regularize the system in order to apply a fixed‐point theorem. Then we pass to the limit using an energy estimate.