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59 sonuçtan 1-3 arası sonuçlar
Sayfa 733
Applying the inverse operator , we can rewrite ( 5 . 7 ) as ( 5 . 18 ) W = 0 + L - ' F (
w ) , where ø is a solution of the homogeneous equation ( 5 . 8 ) . We shall solve (
5 . 18 ) in an appropriate space Hu ( DA ) . - Application of the contraction ...
Applying the inverse operator , we can rewrite ( 5 . 7 ) as ( 5 . 18 ) W = 0 + L - ' F (
w ) , where ø is a solution of the homogeneous equation ( 5 . 8 ) . We shall solve (
5 . 18 ) in an appropriate space Hu ( DA ) . - Application of the contraction ...
Sayfa 747
Apply the lemma to the map H defined by ( 7 . 44 ) and to the ball B with center at
the origin and radius r1 = Ae - 41 \ Im xol / 3 Evidently B C 4 , ' ( 924 , 3 ) , if A is
sufficiently large . Hence the image of B under H contains the ball By with center
...
Apply the lemma to the map H defined by ( 7 . 44 ) and to the ball B with center at
the origin and radius r1 = Ae - 41 \ Im xol / 3 Evidently B C 4 , ' ( 924 , 3 ) , if A is
sufficiently large . Hence the image of B under H contains the ball By with center
...
Sayfa 798
An application of Proposition 1 then completes the proof . Let ( xi ) and ( 5 ) be ...
We apply the Todd operator Tdc to F ( x ) in the following way : TdcF ( x ) = II ( 1 -
exP ( * * ) ) " Con el ) F ( x ) , and the operator ( 1 - exp ( - alax. i = 1 653 - 663 .
An application of Proposition 1 then completes the proof . Let ( xi ) and ( 5 ) be ...
We apply the Todd operator Tdc to F ( x ) in the following way : TdcF ( x ) = II ( 1 -
exP ( * * ) ) " Con el ) F ( x ) , and the operator ( 1 - exp ( - alax. i = 1 653 - 663 .
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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