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A Yu Popov1 and I V Tikhonov2
©, 2005 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
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Citation A Yu Popov and I V Tikhonov 2005 Sb. Math. 196 1319
DOI 10.1070/SM2005v196n09ABEH003645
24 Total downloads
A non-local problem (with respect to time) for the heat equation is considered for 
, 
: find a function 
such that
An explicit formula for the solution is found. The question of its applicability is discussed. A description of well-posedness classes is presented. The main conjecture is as follows: as 
, the solution grows no more rapidly than 
with 
.
