St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
33 sonuçtan 1-3 arası sonuçlar
Sayfa 476
... quasilinear of order k if its system of coefficients is a quasilinear section of the bundle ( II'1⁄2 ) * TM ' . The set of quasilinear differential operators of order k is a vector space , which we denote by DO ( M , M ' ) . Now , we ...
... quasilinear of order k if its system of coefficients is a quasilinear section of the bundle ( II'1⁄2 ) * TM ' . The set of quasilinear differential operators of order k is a vector space , which we denote by DO ( M , M ' ) . Now , we ...
Sayfa 477
... quasilinear differential operator coincides with the classical one . In particular , the " characteristic polynomial " OA ( w ) of A is the following ( n ' x n ' ) - matrix : σA ( jk — 1u , w ) = ( Ak ) ¿ 1 ··· ik ( j ' k - 1 u ) · Wis ...
... quasilinear differential operator coincides with the classical one . In particular , the " characteristic polynomial " OA ( w ) of A is the following ( n ' x n ' ) - matrix : σA ( jk — 1u , w ) = ( Ak ) ¿ 1 ··· ik ( j ' k - 1 u ) · Wis ...
Sayfa 479
... quasilinear of order k if the morphism A of bundles ( 2.11 ) is quasilinear . A quasilinear differential operator A ( in the sense of Definition 2.7 ) with the principal part Ak has the form ( 2.13 ) Au = -1 Ak ( x , u , Du , ... , Dk ...
... quasilinear of order k if the morphism A of bundles ( 2.11 ) is quasilinear . A quasilinear differential operator A ( in the sense of Definition 2.7 ) with the principal part Ak has the form ( 2.13 ) Au = -1 Ak ( x , u , Du , ... , Dk ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
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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