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82 sonuçtan 1-3 arası sonuçlar
Sayfa 634
Hadamard had denoted the Green function with arguments A and B by rĄ .
However , ( 2 . 0 ) was not proved in [ 1 ] . In deference to historical correctness it
should be mentioned that the inequality ( 2 . 0 ) was considered before the
publication ...
Hadamard had denoted the Green function with arguments A and B by rĄ .
However , ( 2 . 0 ) was not proved in [ 1 ] . In deference to historical correctness it
should be mentioned that the inequality ( 2 . 0 ) was considered before the
publication ...
Sayfa 649
We prove the existence of the mapping O . . Denote by J , the Fourier transform of
the function ( 1 + | | * | | 2 ) - 1 / 2 . It was proved in [ 24 ] that Ji is a positive
function . It can be proved with the help of the Mikhlin - Hörmander theorem ( see
[ 24 ] ...
We prove the existence of the mapping O . . Denote by J , the Fourier transform of
the function ( 1 + | | * | | 2 ) - 1 / 2 . It was proved in [ 24 ] that Ji is a positive
function . It can be proved with the help of the Mikhlin - Hörmander theorem ( see
[ 24 ] ...
Sayfa 964
Nod The lemma is proved . ... We prove by induction on j that there exist functions
{ ti } i - , E L . . ( 12 , 2 , 1 ) ... Suppose that the assertion is already proved for j = m
, and that { ti } th have already been constructed that satisfy ( 3 ) with j = m .
Nod The lemma is proved . ... We prove by induction on j that there exist functions
{ ti } i - , E L . . ( 12 , 2 , 1 ) ... Suppose that the assertion is already proved for j = m
, and that { ti } th have already been constructed that satisfy ( 3 ) with j = m .
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
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