St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
88 sonuçtan 1-3 arası sonuçlar
Sayfa 483
... zero at each homotopy class of loops in M ' . Indeed , a linearized operator acts on the sections of a vector bundle over the circle , and the index of such an elliptic differential operator is equal to zero . 4.2 . The Cauchy - Riemann ...
... zero at each homotopy class of loops in M ' . Indeed , a linearized operator acts on the sections of a vector bundle over the circle , and the index of such an elliptic differential operator is equal to zero . 4.2 . The Cauchy - Riemann ...
Sayfa 548
... zero for j > j + . Then , as Reλ → + ∞ , the characteristic function has the asymptotics ( 2.7 ) uniformly with respect to Im X. L ( X ) = aoj + X3 + ( 1 + o ( 1 ) ) b ) Suppose that anj- ‡ 0 for some j- , and that the coefficients ...
... zero for j > j + . Then , as Reλ → + ∞ , the characteristic function has the asymptotics ( 2.7 ) uniformly with respect to Im X. L ( X ) = aoj + X3 + ( 1 + o ( 1 ) ) b ) Suppose that anj- ‡ 0 for some j- , and that the coefficients ...
Sayfa 551
... zero at all elements of V. Theorem 2.1 is proved . - - Remark 2.1 . The proof of the completeness of the family of exponential solutions in the space Hm Wm can be extended to the case of the Banach space Wm , p≥ 1. This generalizes the ...
... zero at all elements of V. Theorem 2.1 is proved . - - Remark 2.1 . The proof of the completeness of the family of exponential solutions in the space Hm Wm can be extended to the case of the Banach space Wm , p≥ 1. This generalizes the ...
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