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87 sonuçtan 1-3 arası sonuçlar
Sayfa 646
Then for any function ue W . ( 12 ) jim llu – Fsu | lw ; ( n ) = 0 , where the function
Fg is defined in the proof of Theorem 1 . 2 . Proof . Indeed , Theorem 2 . 2 gives
us that u e V ( S2 ) . Therefore , it follows from the proof of Theorem 1 . 2 that the ...
Then for any function ue W . ( 12 ) jim llu – Fsu | lw ; ( n ) = 0 , where the function
Fg is defined in the proof of Theorem 1 . 2 . Proof . Indeed , Theorem 2 . 2 gives
us that u e V ( S2 ) . Therefore , it follows from the proof of Theorem 1 . 2 that the ...
Sayfa 882
1 ) Theorem 1 ( ii ) of $ 2 shows that the choice of extension fe As to the plane
does not influence the fulfillment of condition ( 3 . 3 ) . 2 ) Theorem 1 in a different
form was proved by D ' yakonov ( 14 ] . He used another method of proof . Proof .
1 ) Theorem 1 ( ii ) of $ 2 shows that the choice of extension fe As to the plane
does not influence the fulfillment of condition ( 3 . 3 ) . 2 ) Theorem 1 in a different
form was proved by D ' yakonov ( 14 ] . He used another method of proof . Proof .
Sayfa 955
Proof . The equivalence of the statements 1° - 5° can be established just like the
equivalence of the corresponding statements in Theorem 1 . 3 . It is only
necessary to introduce the following natural changes into the proof of Theorem 1
. 3 .
Proof . The equivalence of the statements 1° - 5° can be established just like the
equivalence of the corresponding statements in Theorem 1 . 3 . It is only
necessary to introduce the following natural changes into the proof of Theorem 1
. 3 .
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero