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Local existence and uniqueness of solutions to approximate systems of 1D tumor invasion model

✍ Scribed by Akio Ito; Maria Gokieli; Marek Niezgódka; Zuzanna Szymańska

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
357 KB
Volume
11
Category
Article
ISSN
1468-1218

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Local existence and uniqueness of the mild solution to the 1D Vlasov–Poisson system with an initial condition of bounded variation
✍ Simon Labrunie; Sandrine Marchal; Jean-Rodolphe Roche 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 199 KB

We propose a result of local existence and uniqueness of a mild solution to the one-dimensional Vlasov-Poisson system. We establish the result for an initial condition lying in the space W 1,1 (R 2 ), then we extend it to initial conditions lying in the space BV(R 2 ), without any assumption of cont