St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
4 sonuçtan 1-3 arası sonuçlar
Sayfa 483
... torus and M ' an arbitrary complex manifold . The following first order elliptic operators are defined on smooth mappings u : T2 → M ' : ди = 1 / du ди + i- az 2 \ მ მყ ди ди = მა ( 1 / du 2 \ მუ მყ where z = x + iy € T2 ...
... torus and M ' an arbitrary complex manifold . The following first order elliptic operators are defined on smooth mappings u : T2 → M ' : ди = 1 / du ди + i- az 2 \ მ მყ ди ди = მა ( 1 / du 2 \ მუ მყ where z = x + iy € T2 ...
Sayfa 500
... torus , and let M ' be a compact complex Kähler manifold . Then the equation ( 6.4 ) ди θα · ( z ) + f ( z , u ( z ) ) = 0 , z € T2 , is defined on the mappings u : T2 → M ' ( see Subsection 4.2 ) . Here f ( z , u ) is a nonau ...
... torus , and let M ' be a compact complex Kähler manifold . Then the equation ( 6.4 ) ди θα · ( z ) + f ( z , u ( z ) ) = 0 , z € T2 , is defined on the mappings u : T2 → M ' ( see Subsection 4.2 ) . Here f ( z , u ) is a nonau ...
Sayfa 501
... torus T2 C / ( Z + iZ ) . Then T ( u ) equation for mappings u from S1 to T2 : ( 6.9 ) = = -utt . We consider the following Utt + iɛut | ut | 2 = 0 , where ɛ is a positive real number . The contractible solutions of ( 6.9 ) can be ...
... torus T2 C / ( Z + iZ ) . Then T ( u ) equation for mappings u from S1 to T2 : ( 6.9 ) = = -utt . We consider the following Utt + iɛut | ut | 2 = 0 , where ɛ is a positive real number . The contractible solutions of ( 6.9 ) can be ...
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