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具非局部源退化抛物方程组解全局存在和爆破

GLOBAL EXISTENCE AND BLOW UP FOR DEGENERATE PARABOLIC SYSTEM WITH NONLOCAL SOURCE
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摘要 本文讨论了下列非局部退化抛物方程组ut=uT(△u+∫Ω f(v)dx),vt=(△v+∫Ωg(v)dx),(x,t)∈Ω×(0,∞)的爆破性质.在一定条件下,方程组解在有限时刻爆破且爆破点集是整个区域.
作者 李梅
出处 《南京大学学报(数学半年刊)》 CAS 2005年第1期87-95,共9页 Journal of Nanjing University(Mathematical Biquarterly)
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