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71 sonuçtan 1-3 arası sonuçlar
Sayfa 841
The general case V = V * ES , is exhausted by passing to the limit from the case
of perturbations of finite rank . In ( 3 . 10 ) the sum is now infinite , and ( 3 . 15 ) >
lyk = | | V | ls , < oo , | | V – Vn | ls , - + 0 ; here Vn is a partial sum of the series ( 3 .
The general case V = V * ES , is exhausted by passing to the limit from the case
of perturbations of finite rank . In ( 3 . 10 ) the sum is now infinite , and ( 3 . 15 ) >
lyk = | | V | ls , < oo , | | V – Vn | ls , - + 0 ; here Vn is a partial sum of the series ( 3 .
Sayfa 1149
e ) Flows and a limit case of G ( X , T ) . Suppose we have a flow { T ' , t ER } on
the compact space X and consider the S ( X , T ' ) and Lie algebras G ( X , T ' ) for
an arbitrary but fixed LER . If t + 0 , then there is no nontrivial limit of A ( X , T ' ) ...
e ) Flows and a limit case of G ( X , T ) . Suppose we have a flow { T ' , t ER } on
the compact space X and consider the S ( X , T ' ) and Lie algebras G ( X , T ' ) for
an arbitrary but fixed LER . If t + 0 , then there is no nontrivial limit of A ( X , T ' ) ...
Sayfa 1193
1 ) , to a “ macroscopic " scale connected with the hydrodynamic equations . In
the new scale equation ( 1 . 1 ) has the form ( 1 . 10 ) Elfi + 0 . VxŠ ) = J ( $ ) . A
formal passage to the limit as E → 0 yields the relation ( 1 . 8 ) for the limit
function ...
1 ) , to a “ macroscopic " scale connected with the hydrodynamic equations . In
the new scale equation ( 1 . 1 ) has the form ( 1 . 10 ) Elfi + 0 . VxŠ ) = J ( $ ) . A
formal passage to the limit as E → 0 yields the relation ( 1 . 8 ) for the limit
function ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero