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32 sonuçtan 1-3 arası sonuçlar
Sayfa 916
... 1 , 0 ) 7 and = ( 0 , 1 , 0 ) , is the identity . Consequently , by Lemma 2 . 4 , X [ 1 ]
€ 6 , and therefore Xe6 . . 2 ) The proof of this part repeats the preceding
argument , except that instead of Lemma 2 . 4 we must use Lemma 2 . 5 .
Corollary 2 .
... 1 , 0 ) 7 and = ( 0 , 1 , 0 ) , is the identity . Consequently , by Lemma 2 . 4 , X [ 1 ]
€ 6 , and therefore Xe6 . . 2 ) The proof of this part repeats the preceding
argument , except that instead of Lemma 2 . 4 we must use Lemma 2 . 5 .
Corollary 2 .
Sayfa 1085
9 ) and the integral identity ( 1 . 6 ) with any compactly supported ne H ( S2 ) .
Heywood considered problem ( 1 . 4 ) , ( 1 . 9 ) in the domain NH ( for it is
auxiliary conditions ( 1 . 9 ) reduce to giving the total flux through the aperatures 2
) and ...
9 ) and the integral identity ( 1 . 6 ) with any compactly supported ne H ( S2 ) .
Heywood considered problem ( 1 . 4 ) , ( 1 . 9 ) in the domain NH ( for it is
auxiliary conditions ( 1 . 9 ) reduce to giving the total flux through the aperatures 2
) and ...
Sayfa 1097
2 ) . Proof of Theorem 3 . 1 . We begin with the construction of a generalized
solution of problem ( 3 . 2 ) which we define as a vector field in the space W ( br )
satisfying the conditions VI2 = 0 = Vo , vlxes = 0 , [ vidx ' = 0 and the integral
identity 1 ...
2 ) . Proof of Theorem 3 . 1 . We begin with the construction of a generalized
solution of problem ( 3 . 2 ) which we define as a vector field in the space W ( br )
satisfying the conditions VI2 = 0 = Vo , vlxes = 0 , [ vidx ' = 0 and the integral
identity 1 ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
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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