St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
19 sonuçtan 1-3 arası sonuçlar
Sayfa 508
... Hence , ( 0.7 ) turns into ( 0.5 ) . = The presence of the shift 2 in ( 0.6 ) shows that for 0 the threshold effect interacts with the high frequency effects . In this connection , we mention that non- stationary periodic problems in ...
... Hence , ( 0.7 ) turns into ( 0.5 ) . = The presence of the shift 2 in ( 0.6 ) shows that for 0 the threshold effect interacts with the high frequency effects . In this connection , we mention that non- stationary periodic problems in ...
Sayfa 644
... Hence , || X ( t ) ƒ || 2 > 8. On the other hand , || X ( t ) ƒ || 2 Xof + tX1ƒ || 2 ≤ t2 || X1 || 2 ≤ 8. This contradiction shows that ( 1.4 ) rank F ( t , 8 ) n . Now , assume that rank F ( t , 38 ) > n . Then there exists f ( t ...
... Hence , || X ( t ) ƒ || 2 > 8. On the other hand , || X ( t ) ƒ || 2 Xof + tX1ƒ || 2 ≤ t2 || X1 || 2 ≤ 8. This contradiction shows that ( 1.4 ) rank F ( t , 8 ) n . Now , assume that rank F ( t , 38 ) > n . Then there exists f ( t ...
Sayfa 750
... Hence , │sk – tk | ≤ C3 ( 4 ′ ( xk ) ) − o . If C3 ( 4 ′ ( Xk ) ) − o ≤ √M / 44 ′ ( xk ) , then , by Lemma 1 , y ′ ( t ) ≈ 4 ′ ( xk ) for t Є ( Sk , tk ) . Otherwise , we have ′ ( xk ) ≥ C4 , which yields ' ( t ) ≈ 4 ′ ( xk ) ...
... Hence , │sk – tk | ≤ C3 ( 4 ′ ( xk ) ) − o . If C3 ( 4 ′ ( Xk ) ) − o ≤ √M / 44 ′ ( xk ) , then , by Lemma 1 , y ′ ( t ) ≈ 4 ′ ( xk ) for t Є ( Sk , tk ) . Otherwise , we have ′ ( xk ) ≥ C4 , which yields ' ( t ) ≈ 4 ′ ( xk ) ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
3 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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