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A Cauchy problem for the heat equation

✍ Scribed by J. R. Cannon


Book ID
112745806
Publisher
Springer
Year
1964
Tongue
English
Weight
388 KB
Volume
66
Category
Article
ISSN
0373-3114

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Regularization of a non-characteristic C
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## Abstract The non‐characteristic Cauchy problem for the heat equation __u__~__xx__~(__x__,__t__) = __u__~1~(__x__,__t__), 0 β©½ __x__ β©½ 1, βˆ’ ∞ < __t__ < ∞, __u__(0,__t__) = Ο†(__t__), __u__~__x__~(0, __t__) = ψ(__t__), βˆ’ ∞ < __t__ < ∞ is regularizΓ¨d when approximate expressions for Ο† and ψ are given