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On a Universality of the Heat Equation
Author(s) -
Herzog Gerd
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19971880110
Subject(s) - mathematics , universality (dynamical systems) , subsequence , heat equation , pure mathematics , mathematical physics , mathematical analysis , combinatorics , physics , quantum mechanics , bounded function
We prove that there are solutions u ( t,x ) of the heat equation u t = u xx such that every continuous function f : [ a, b ] → ℝ can be uniformly approximated by a subsequence of u ( n , ·), n ϵ ℕ.