St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
89 sonuçtan 1-3 arası sonuçlar
Sayfa 671
... Proposition 2.2 . Proposition 2.6 . The following estimates are valid , where we use the notation ( 2.14 ) - ( 2.17 ) : ( 2.19 ) ( 2.20 ) ε || G ( ε , k ) || → ≤ Cx , 0 < ɛ≤ 1 , kЄ clos , -1 Cx = max { C + 2 ( 36 ) ̄1 , 2c , 1 ( t ...
... Proposition 2.2 . Proposition 2.6 . The following estimates are valid , where we use the notation ( 2.14 ) - ( 2.17 ) : ( 2.19 ) ( 2.20 ) ε || G ( ε , k ) || → ≤ Cx , 0 < ɛ≤ 1 , kЄ clos , -1 Cx = max { C + 2 ( 36 ) ̄1 , 2c , 1 ( t ...
Sayfa 840
... proposition are fulfilled . Further- more , using isomorphism G ( FR ) ~ and the fact that FR is perfect , we conclude that dim FR ≤ 1 ( see [ 5 , Chapter II , §3 , Proposition 6 ( b ) ] ) ; in particular , NFR / FR ( Fx , ) = Fx · We ...
... proposition are fulfilled . Further- more , using isomorphism G ( FR ) ~ and the fact that FR is perfect , we conclude that dim FR ≤ 1 ( see [ 5 , Chapter II , §3 , Proposition 6 ( b ) ] ) ; in particular , NFR / FR ( Fx , ) = Fx · We ...
Sayfa 845
... proposition is proved . Since conditions 1 ) -3 ) of the proposition are preserved under finite separable exten- sions , we arrive at the following statement . Corollary . Under the conditions of Proposition 5.1 , the maximal immediate ...
... proposition is proved . Since conditions 1 ) -3 ) of the proposition are preserved under finite separable exten- sions , we arrive at the following statement . Corollary . Under the conditions of Proposition 5.1 , the maximal immediate ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
6 The compactness property for quasilinear elliptic | 497 |
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algebra apply assume Banach space base basis belongs boundary bounded called coefficients coincides compact complete Consequently consider constant constructed contains convergence corresponding curve defined Definition denote depend determined difference differential operator domain effective eigenvalues element elliptic English transl equal equation equivalent estimate example exists extension fact field finite fixed formula function given homogenization ideal identity implies inequality integral isomorphism Journal Lemma linear mapping Math Mathematical matrix means method Moreover multiple norm normal notation obtain operator parameters particular periodic polynomial positive present problem Proof Proposition prove regular relation Remark representation respectively ring satisfies sequence side similar smooth solution space statement subgroup Subsection sufficiently Suppose Theorem theory transformation values vector zero