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42 sonuçtan 1-3 arası sonuçlar
Sayfa 580
In a real Hilbert space H , we consider the linear equation ( 5 ) Au + Bu = f under
the following assumptions . The operator A is selfadjoint and positive definite ,
and its inverse is compact . With A we associate the corresponding energy space
...
In a real Hilbert space H , we consider the linear equation ( 5 ) Au + Bu = f under
the following assumptions . The operator A is selfadjoint and positive definite ,
and its inverse is compact . With A we associate the corresponding energy space
...
Sayfa 676
We give the statements . Theorem 2 . 3 . Under the assumptions of Theorem 3 . 2
. ... 3 . 2 ) . Theorem 2 . 5 . Under the above assumptions , we have | | ( Ac ( 9 , ) +
1 ) - 1 - ( fo ) - ( Â ( 9° ) + Q ) - - ( ( fo ) * ) - 1 | | 6 - 8 ( 2 . 7 ) SECx | | Q - | | | .
We give the statements . Theorem 2 . 3 . Under the assumptions of Theorem 3 . 2
. ... 3 . 2 ) . Theorem 2 . 5 . Under the above assumptions , we have | | ( Ac ( 9 , ) +
1 ) - 1 - ( fo ) - ( Â ( 9° ) + Q ) - - ( ( fo ) * ) - 1 | | 6 - 8 ( 2 . 7 ) SECx | | Q - | | | .
Sayfa 677
Under the assumptions of Theorem 2 . 4 , we have con | | ( Ac ( g ) + Q® ) - 1 - ( Â
( g° ) + Q ) - 1 | | 6 - 6 - 8 . Sel - s ( 2c + ) * ( Cx | | Q - 1 | | 100 ) 1 - 8 , 0 < s < 1 , 0 <
e < 1 . If Q = 1 , the expressions for the constants in ( 2 . 10 ) and ( 2 .
Under the assumptions of Theorem 2 . 4 , we have con | | ( Ac ( g ) + Q® ) - 1 - ( Â
( g° ) + Q ) - 1 | | 6 - 6 - 8 . Sel - s ( 2c + ) * ( Cx | | Q - 1 | | 100 ) 1 - 8 , 0 < s < 1 , 0 <
e < 1 . If Q = 1 , the expressions for the constants in ( 2 . 10 ) and ( 2 .
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İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
algebra apply arbitrary assume Banach space base basis belongs boundary bounded called Chapter coefficients coincides compact complete Consequently consider constant constructed contains contraction 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 factorization 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 suffices Suppose Theorem theory transformation values vector zero