On reflection principles for parabolic equations in one space variable
1978 ◽
Vol 21
(2)
◽
pp. 143-147
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Keyword(s):
In this note we shall consider the problem of uniquely continuing solutions of the parabolic equationacross an analytic arc σ: x=s1(t) satisfies the boundary dataWe assume that u(x,t) is a classical solution of (1) in the domain D ={(x,t): s1(t)< x < s 2(t), 0 < t < t0}, continuously differentiate in D ∪ σ and define the “reflection” of D across σ by
2000 ◽
Vol 130
(4)
◽
pp. 877-908
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Keyword(s):
1974 ◽
Vol 15
(3)
◽
pp. 551-559
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2012 ◽
Vol 142
(2)
◽
pp. 425-448
2006 ◽
Vol 136
(2)
◽
pp. 415-430
◽
2002 ◽
Vol 7
(1)
◽
pp. 93-104
◽
2013 ◽
Vol 143
(6)
◽
pp. 1185-1208
◽
1985 ◽
Vol 26
(2)
◽
pp. 115-120
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