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88 sonuçtan 1-3 arası sonuçlar
Sayfa 489
beBl = 0 Here D ' w ( b ) is an element of the space of l - linear mappings from
ToB to Fo , and the metric on this space is induced by the metrics on TyB and Fb .
We consider the space formed by the sections w such that | | w | | < too ; obviously
...
beBl = 0 Here D ' w ( b ) is an element of the space of l - linear mappings from
ToB to Fo , and the metric on this space is induced by the metrics on TyB and Fb .
We consider the space formed by the sections w such that | | w | | < too ; obviously
...
Sayfa 490
Obviously , the space V is not less than itself . Example ( quasilinear first order
perturbations ) . Consider ( S - smooth quasilinear sections f of the bundle ( 111 )
* TM ' ( see Subsection 2 . 1 ) . They have the form f ( z , u ( x ) , du ( x ) ) = G ( z , u
...
Obviously , the space V is not less than itself . Example ( quasilinear first order
perturbations ) . Consider ( S - smooth quasilinear sections f of the bundle ( 111 )
* TM ' ( see Subsection 2 . 1 ) . They have the form f ( z , u ( x ) , du ( x ) ) = G ( z , u
...
Sayfa 491
is called the moduli space of solutions of the quasilinear elliptic problem . The
mapping TA : MA , ( u ) + F given by the rule MA , ful = ( u , f ) - fEF is called the
natural projection of the moduli space onto the space F of functional parameters .
is called the moduli space of solutions of the quasilinear elliptic problem . The
mapping TA : MA , ( u ) + F given by the rule MA , ful = ( u , f ) - fEF is called the
natural projection of the moduli space onto the space F of functional parameters .
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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