St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 536
... theorem ( see [ 1 , Theorem 3.5 on page 196 ] ) asserts that if R is a commutative ring and dim ( Max ( R ) ) = d , then sr ( R ) ≤ d +1 . We mention a few immediate consequences of this theorem : • sr ( R ) = 1 if R is semilocal ; sr ...
... theorem ( see [ 1 , Theorem 3.5 on page 196 ] ) asserts that if R is a commutative ring and dim ( Max ( R ) ) = d , then sr ( R ) ≤ d +1 . We mention a few immediate consequences of this theorem : • sr ( R ) = 1 if R is semilocal ; sr ...
Sayfa 676
... theorems follow equally easily from the results of Chapter 3 with the help of the scale transformation . We give the statements . Theorem 2.3 . Under the assumptions of Theorem 3.2.7 , let Ac ( g , f ) Aε ( go , f ) = A ( go , f ) ...
... theorems follow equally easily from the results of Chapter 3 with the help of the scale transformation . We give the statements . Theorem 2.3 . Under the assumptions of Theorem 3.2.7 , let Ac ( g , f ) Aε ( go , f ) = A ( go , f ) ...
Sayfa 695
... Theorem 4.2.8 . Theorem 1.6 . Under the assumptions of Theorem 1.5 , we have -8 || ( w © ) −1 ( Hɛ ( ğ , w ) + I ) −1 − ( Ĥ ( g ° ) + I ) −1w2 || ̧ — ̧a ≤ Cε13 , 0 ≤ s < 1 , 0 < ɛ ≤ 1 . → G 8 Next , Theorem 4.2.9 ( with Q = 1 ) ...
... Theorem 4.2.8 . Theorem 1.6 . Under the assumptions of Theorem 1.5 , we have -8 || ( w © ) −1 ( Hɛ ( ğ , w ) + I ) −1 − ( Ĥ ( g ° ) + I ) −1w2 || ̧ — ̧a ≤ Cε13 , 0 ≤ s < 1 , 0 < ɛ ≤ 1 . → G 8 Next , Theorem 4.2.9 ( with Q = 1 ) ...
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