St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
88 sonuçtan 1-3 arası sonuçlar
Sayfa 687
... operator . Now , we consider the operator ( 1.11 ) H ( g ) = Â ( g ) Â ( g ) + Q ( x ) , where Q ( x ) > 0 is a T - periodic function such that Q + Q - 1 L. The operator H ( g ) is a periodic Schrödinger operator ( with metric g ) . If ...
... operator . Now , we consider the operator ( 1.11 ) H ( g ) = Â ( g ) Â ( g ) + Q ( x ) , where Q ( x ) > 0 is a T - periodic function such that Q + Q - 1 L. The operator H ( g ) is a periodic Schrödinger operator ( with metric g ) . If ...
Sayfa 699
... operator ( 2.32 ) If g = = foEgƐ fo , g = foğfo . P ( g ) foƐgƐfo , 12 , the operator ( 2.32 ) turns into the Pauli operator P. However , in contrast to P , in the general case P ( g ) does not split into blocks . We note that ( 2.33 ) ...
... operator ( 2.32 ) If g = = foEgƐ fo , g = foğfo . P ( g ) foƐgƐfo , 12 , the operator ( 2.32 ) turns into the Pauli operator P. However , in contrast to P , in the general case P ( g ) does not split into blocks . We note that ( 2.33 ) ...
Sayfa 702
... operator can be calculated explicitly and do not depend on the direction of the quasimomentum , i.e. , on the vector ✪ . All the results concerning homogenization for the Pauli operator are new . In this case , we benefited from the ...
... operator can be calculated explicitly and do not depend on the direction of the quasimomentum , i.e. , on the vector ✪ . All the results concerning homogenization for the Pauli operator are new . In this case , we benefited from the ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
6 The compactness property for quasilinear elliptic | 497 |
Telif Hakkı | |
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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