St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 477
... particular , the " characteristic polynomial " σA ( w ) of A is the following ( n ' × n ' ) - matrix : ( 2.7 ) -1 σA ( jk - 1u , w ) -1 = ( Ak ) i1 ··· ik ( jk - 1u ) · Wis ・・・ Wik ' ́u , w ) = ( Ak ) ' · · where wЄ R * and w1 ...
... particular , the " characteristic polynomial " σA ( w ) of A is the following ( n ' × n ' ) - matrix : ( 2.7 ) -1 σA ( jk - 1u , w ) -1 = ( Ak ) i1 ··· ik ( jk - 1u ) · Wis ・・・ Wik ' ́u , w ) = ( Ak ) ' · · where wЄ R * and w1 ...
Sayfa 492
... particular , the set of functional parameters for which the problem has only regular solutions is empty . A 1 Corollary 5.3 . If r > max ( ind [ ] A , 0 ) , then , for each regular point f Є F , the set π ( f ) of solutions of ( 5.6 ) ...
... particular , the set of functional parameters for which the problem has only regular solutions is empty . A 1 Corollary 5.3 . If r > max ( ind [ ] A , 0 ) , then , for each regular point f Є F , the set π ( f ) of solutions of ( 5.6 ) ...
Sayfa 528
... particular , A ;; C Aih . Similarly , thj ( SE ) = [ thi ( S ) , tij ( § ) ] = [ Thi ( S ) , tij ( § ) ] € H , so that RA , C Ahj . In particular , Aij C Ahj . This shows that for ≥ 3 all subgroups Aij with i ± j coincide and are ...
... particular , A ;; C Aih . Similarly , thj ( SE ) = [ thi ( S ) , tij ( § ) ] = [ Thi ( S ) , tij ( § ) ] € H , so that RA , C Ahj . In particular , Aij C Ahj . This shows that for ≥ 3 all subgroups Aij with i ± j coincide and are ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
6 The compactness property for quasilinear elliptic | 497 |
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algebra apply assume Banach space base basis belongs boundary bounded called coefficients coincides compact complete Consequently consider constant constructed contains convergence corresponding curve defined Definition denote depend determined difference differential operator domain effective eigenvalues element elliptic English transl equal equation equivalent estimate example exists extension fact field finite fixed formula function given homogenization ideal identity implies inequality integral isomorphism Journal Lemma linear mapping Math Mathematical matrix means method Moreover multiple norm normal notation obtain operator parameters particular periodic polynomial positive present problem Proof Proposition prove regular relation Remark representation respectively ring satisfies sequence side similar smooth solution space statement subgroup Subsection sufficiently Suppose Theorem theory transformation values vector zero