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The uniqueness theorem for a certain variational problem

✍ Scribed by Yu. E. Anikonov

Book ID: 112450575
Publisher: SP MAIK Nauka/Interperiodica
Year: 1970
Tongue: English
Weight: 170 KB
Volume: 11
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf00967308

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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