St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
39 sonuçtan 1-3 arası sonuçlar
Sayfa 557
... sufficiently small , then M ( r , ε ) = M ( r ) . Therefore , there exists T such that , for all q , we have ( 3.21 ) ( 1 + T ) 2 ( Mq ( r ) −1 ) ę × qT ≤ 2 ( 1 + T ) 2 ( M ( r ) −1 )。× + T ̧ Now from ( 3.20 ) and ( 3.21 ) we deduce ...
... sufficiently small , then M ( r , ε ) = M ( r ) . Therefore , there exists T such that , for all q , we have ( 3.21 ) ( 1 + T ) 2 ( Mq ( r ) −1 ) ę × qT ≤ 2 ( 1 + T ) 2 ( M ( r ) −1 )。× + T ̧ Now from ( 3.20 ) and ( 3.21 ) we deduce ...
Sayfa 578
... sufficiently smooth boundary On , consider the elliptic equation ( 1 ) Аи = - m Σ k , j = 1 მ док ( ди aki Jxj + ru = f ди ulan = 0 , = 0 , or + σulan = 0 . ON ƏN Ən with one of the boundary conditions ( 2 ) ди Here is the derivative ...
... sufficiently smooth boundary On , consider the elliptic equation ( 1 ) Аи = - m Σ k , j = 1 მ док ( ди aki Jxj + ru = f ди ulan = 0 , = 0 , or + σulan = 0 . ON ƏN Ən with one of the boundary conditions ( 2 ) ди Here is the derivative ...
Sayfa 581
sufficiently large , and the approximate solutions un converge to the exact solution u * at the rate of the best approximations : - || u * – un || A ≤ CEU „ ( u * ) HA where Un is the linear hull of the coordinate elements ( see [ 8 ] ...
sufficiently large , and the approximate solutions un converge to the exact solution u * at the rate of the best approximations : - || u * – un || A ≤ CEU „ ( u * ) HA where Un is the linear hull of the coordinate elements ( see [ 8 ] ...
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