A note on Monge-Ampère Keller-Segel equation
نویسندگان
چکیده
This note studies the Monge–Ampère Keller–Segel equation in a periodic domain Td(d ≥ 2), a fully nonlinear modification of the Keller–Segel equation where the Monge–Ampère equation det(I + ∇2v) = u + 1 substitutes for the usual Poisson equation ∆v = u. The existence of global weak solutions is obtained for this modified equation. Moreover, we prove the regularity in L∞ 0, T ;L∞ ∩W 1,1+γ(Td) for some γ > 0. © 2016 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 61 شماره
صفحات -
تاریخ انتشار 2016