Simplified a priori estimate for the time periodic Burgers’ equation
نویسندگان
چکیده
منابع مشابه
An a priori estimate for the singly periodic solutions of a semilinear equation
We consider the positive solutions u of −∆u+u−u = 0 in [0, 2π]× RN−1, which are 2π-periodic in x1 and tend uniformly to 0 in the other variables. There exists a constant C such that any solution u verifies u(x1, x ′) ≤ Cw0(x) where w0 is the ground state solution of −∆v + v − v = 0 in RN−1. We prove that exactly the same estimate is true when the period is 2π/ε, even when ε tends to 0. We have ...
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ژورنال
عنوان ژورنال: Proceedings of the Estonian Academy of Sciences
سال: 2010
ISSN: 1736-6046
DOI: 10.3176/proc.2010.1.06