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84 sonuçtan 1-3 arası sonuçlar
Sayfa 860
We introduce the subspace Ho , the closure of the linear span of all elements of
the form Eo ( 8 ) 0 , where 8 CR is any interval . The subspace Ho reduces both
the operators Ho and H = Ho + V . Further , H = Hoon Hoho . Consequently , it
can ...
We introduce the subspace Ho , the closure of the linear span of all elements of
the form Eo ( 8 ) 0 , where 8 CR is any interval . The subspace Ho reduces both
the operators Ho and H = Ho + V . Further , H = Hoon Hoho . Consequently , it
can ...
Sayfa 899
Introduce the quantity 115 - x / > 8 15 – x13 dě dn . wo ( 8 ) = { Sa to ( ( B ( x , 0 ) A
( x , 0 ) ) " . It is easily seen that the required estimate is equivalent to w2 ( 2 - 1 )
22 ' < + 00 . ( ii ) To estimate wp ( 2 - ) , let us again introduce cut - off functions ...
Introduce the quantity 115 - x / > 8 15 – x13 dě dn . wo ( 8 ) = { Sa to ( ( B ( x , 0 ) A
( x , 0 ) ) " . It is easily seen that the required estimate is equivalent to w2 ( 2 - 1 )
22 ' < + 00 . ( ii ) To estimate wp ( 2 - ) , let us again introduce cut - off functions ...
Sayfa 1018
12 ) | q < n , nQ / ( n – q ) < p < 0 , and that VÕ ( 12 ) nCo ( D ; R " ) is dense in V9 (
12 ) ( 8 . 13 ) for some rela , ng / ( n - 9 ) ] if a > 1 , and for some re ( 1 , n / ( n − 1 )
] if a = 1 . Then assertion ( 8 . 11 ) holds . Proof . We introduce the spaces .
12 ) | q < n , nQ / ( n – q ) < p < 0 , and that VÕ ( 12 ) nCo ( D ; R " ) is dense in V9 (
12 ) ( 8 . 13 ) for some rela , ng / ( n - 9 ) ] if a > 1 , and for some re ( 1 , n / ( n − 1 )
] if a = 1 . Then assertion ( 8 . 11 ) holds . Proof . We introduce the spaces .
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
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