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85 sonuçtan 1-3 arası sonuçlar
Sayfa 654
In applications , it is often more convenient to check ( 5 . 2 ) directly . We shall
estimate the norm of the operator - valued function ( 5 . 3 ) G ( € , t , 8 ) : = ( A ( t ) +
€21 ) - 1F ( t , 0 ) – ( t SP + €21 ) – ? P , € > 0 , \ t < t° ( 8 ) . First , we note that (
t2SP ...
In applications , it is often more convenient to check ( 5 . 2 ) directly . We shall
estimate the norm of the operator - valued function ( 5 . 3 ) G ( € , t , 8 ) : = ( A ( t ) +
€21 ) - 1F ( t , 0 ) – ( t SP + €21 ) – ? P , € > 0 , \ t < t° ( 8 ) . First , we note that (
t2SP ...
Sayfa 699
... L2 ( R2 ; C ? ) , we consider the operator ( 2 . 32 ) P ( 9 ) = foEge fo , g = foğfo .
If ğ = 12 , the operator ( 2 . 32 ) turns into the Pauli operator P . However , in
contrast to P , in the general case P ( g ) does not split into blocks . We note that ...
... L2 ( R2 ; C ? ) , we consider the operator ( 2 . 32 ) P ( 9 ) = foEge fo , g = foğfo .
If ğ = 12 , the operator ( 2 . 32 ) turns into the Pauli operator P . However , in
contrast to P , in the general case P ( g ) does not split into blocks . We note that ...
Sayfa 742
First , we note that M - 1 = | | 6 | loo because 116 ' | | co > 4 ' ( xn ) > yn for any n .
Put ε = 1160 ' lo . By Lemma 3 , sup / t - 2 selk ' s ( t , x ) < 0 | | $ | | 004 ' ( x ) , and
A1 < C1 ( p ) | | O | P + ž to to ( the constants C1 , C2 , etc . depend only on p ) .
First , we note that M - 1 = | | 6 | loo because 116 ' | | co > 4 ' ( xn ) > yn for any n .
Put ε = 1160 ' lo . By Lemma 3 , sup / t - 2 selk ' s ( t , x ) < 0 | | $ | | 004 ' ( x ) , and
A1 < C1 ( p ) | | O | P + ž to to ( the constants C1 , C2 , etc . depend only on p ) .
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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