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A uniqueness theorem for a singular Cauchy problem

โœ Scribed by Dale W. Lick


Book ID
112746429
Publisher
Springer
Year
1966
Tongue
English
Weight
303 KB
Volume
72
Category
Article
ISSN
0373-3114

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Let VZu+k2u+k2a~(z)u+V.(a~(~)Vu) = -6(cc-y) inR3, where al(z) EL'(D), a&) E H'(D), D E R3\_ = {z : 13 < 0) is a finite region, aj(Z) = 0 outside of D, j = 1,2, 1 + 02 > 0, al = El. Assume that thedatau(l,y,k),V~,yEP={I:13=0}8ndallkE(O,ko),ko>O is an arbitrary small number, are given. THEOREM. The ab