St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
87 sonuçtan 1-3 arası sonuçlar
Sayfa 470
... equation ( more precisely , of a family of equations ) . This space is defined as the set of all pairs ( u , f ) , where f is a functional parameter of the equation and u is a solution of a fixed homotopy type [ u ] . By definition ...
... equation ( more precisely , of a family of equations ) . This space is defined as the set of all pairs ( u , f ) , where f is a functional parameter of the equation and u is a solution of a fixed homotopy type [ u ] . By definition ...
Sayfa 580
... Equation ( 5 ) is uniquely solvable . Under these assumptions , ( 5 ) is equivalent to the equation ( 6 ) u + Tu = A ̄1ƒ , which will be considered in the space HA . Here T = A ̃1B € L ( HA , HA ) ; it is easy to check that T is compact ...
... Equation ( 5 ) is uniquely solvable . Under these assumptions , ( 5 ) is equivalent to the equation ( 6 ) u + Tu = A ̄1ƒ , which will be considered in the space HA . Here T = A ̃1B € L ( HA , HA ) ; it is easy to check that T is compact ...
Sayfa 681
... equation ( 3.1 ) , and let uo be the solution of equation ( 3.2 ) with F 6-1 . Then : 1 ° . As ε ← 0 , the solutions ụ , converge to uo weakly in G1 . 2o . As ε0 , the flows pe converge to the flow po weakly in G .. 4.2 . The case ...
... equation ( 3.1 ) , and let uo be the solution of equation ( 3.2 ) with F 6-1 . Then : 1 ° . As ε ← 0 , the solutions ụ , converge to uo weakly in G1 . 2o . As ε0 , the flows pe converge to the flow po weakly in G .. 4.2 . The case ...
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