Kitabın içinden
89 sonuçtan 1-3 arası sonuçlar
Sayfa 728
Then Propositions 3 . 2 and 2 . 1 give us the formula for the inverse operator : ( 4 .
13 ) Lö ' f = - 901 : 47 ' ( 4025 ) + P02 • 4 = ' ( 2013 ) . Proposition 4 . 1 . Given y >
3 and A > 1 , the expression ( 4 . 13 ) defines a bounded operator Lö ' : , ( D ( A ) ...
Then Propositions 3 . 2 and 2 . 1 give us the formula for the inverse operator : ( 4 .
13 ) Lö ' f = - 901 : 47 ' ( 4025 ) + P02 • 4 = ' ( 2013 ) . Proposition 4 . 1 . Given y >
3 and A > 1 , the expression ( 4 . 13 ) defines a bounded operator Lö ' : , ( D ( A ) ...
Sayfa 729
Proposition 4 . 2 . Let w , wi , W2 belong to Xu ( D ( A ) ) , and assume that | W ( x )
< 1 , \ w1 ( x ) < 1 , \ W2 ( x ) < 1 VX e D ( A ) . Then , for a real y < 2 + 24 , the
following estimates hold : const ( 4 . 15 ) | | F ( W ) x < 2020 - , | | Wly , const ( 4 .
Proposition 4 . 2 . Let w , wi , W2 belong to Xu ( D ( A ) ) , and assume that | W ( x )
< 1 , \ w1 ( x ) < 1 , \ W2 ( x ) < 1 VX e D ( A ) . Then , for a real y < 2 + 24 , the
following estimates hold : const ( 4 . 15 ) | | F ( W ) x < 2020 - , | | Wly , const ( 4 .
Sayfa 1070
They can be obtained from the estimates ( 4 . 6 ) and ( 4 . 7 ) . We present some
of them here . For points SET we agree to choose the value arg 5 in [ 0 , 21 ) . Let
us begin with the following assertion . Proposition 4 . 10 . Assume ( 4 . 1 ) holds ...
They can be obtained from the estimates ( 4 . 6 ) and ( 4 . 7 ) . We present some
of them here . For points SET we agree to choose the value arg 5 in [ 0 , 21 ) . Let
us begin with the following assertion . Proposition 4 . 10 . Assume ( 4 . 1 ) holds ...
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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