On Positive Solutions of the Heat Equation
نویسندگان
چکیده
منابع مشابه
Classification of positive solutions of heat equation with supercritical absorption
Let q ≥ 1 + 2 N . We prove that any positive solution of (E) ∂tu − ∆u + u = 0 in R × (0,∞) admits an initial trace which is a nonnegative Borel measure, outer regular with respect to the fine topology associated to the Bessel capacity C 2 q ,q in R N (q = q/q − 1)) and absolutely continuous with respect to this capacity. If ν is a nonnegative Borel measure in R with the above properties we cons...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1967
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000012472