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 ] C Cm + r ( M , M ′ ) × C3 ( ( IIk − 1 ) * TM ′ ) . Indeed , this follows from the fact that , in local coordinates , equation ( 5.6 ) is a quasi- linear ...
... smooth in the classical sense . More precisely , we have ( 5.8 ) MA , [ v ] C Cm + r ( M , M ′ ) × C3 ( ( IIk − 1 ) * TM ′ ) . Indeed , this follows from the fact that , in local coordinates , equation ( 5.6 ) is a quasi- linear ...
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 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
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A₁ algebra American Mathematical Society assume asymptotics cellular ring coefficients commutative compact consider constant convergence Corollary corresponding curve cyclic defined Definition denote differential operator domain eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal implies inequality integral isomorphism Jordan model lattice Lemma linear manifold mapping Math matrix multiple norm notation obtain orthogonal paper parameters perestroika Petersburg polynomial problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence Sobolev spaces solution solvable subgroup Subsection subspaces Suppose symplectic symplectic group Theorem theory theta theta-series transformation vector zero