St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
54 sonuçtan 1-3 arası sonuçlar
Sayfa 489
... smooth mapping of Sobolev spaces . 5.2 . Spaces of functional parameters . Let B be a smooth manifold , and let E be the total space of a finite - dimensional real vector bundle over B with fiber F over b Є B. We need Banach spaces of ...
... smooth mapping of Sobolev spaces . 5.2 . Spaces of functional parameters . Let B be a smooth manifold , and let E be the total space of a finite - dimensional real vector bundle over B with fiber F over b Є B. We need Banach spaces of ...
Sayfa 491
... smooth in the classical sense . More precisely , we have ( 5.8 ) MA , [ v ] CCm + ( M , M ' ) x C ( ( II - 1 ) * TM ' ) . Indeed , this follows from the fact that , in local coordinates , equation ( 5.6 ) is a quasi- linear elliptic ...
... smooth in the classical sense . More precisely , we have ( 5.8 ) MA , [ v ] CCm + ( M , M ' ) x C ( ( II - 1 ) * TM ' ) . Indeed , this follows from the fact that , in local coordinates , equation ( 5.6 ) is a quasi- linear elliptic ...
Sayfa 492
... smooth finite - dimensional mapping is Fredholm and its index is zero . Definition 5.2 ( see [ 1 ] , [ 20 ] ) . A C - smooth manifold with model Banach space F is said to be quasifinite - dimensional if it admits an atlas with C - smooth ...
... smooth finite - dimensional mapping is Fredholm and its index is zero . Definition 5.2 ( see [ 1 ] , [ 20 ] ) . A C - smooth manifold with model Banach space F is said to be quasifinite - dimensional if it admits an atlas with C - smooth ...
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