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Sayfa 483
More generally , we can consider differential operators of an arbitrary order
defined on the space of smooth loops in M ' . It is natural to call such operators
ordinary differential operators . The ordinary elliptic quasilinear differential
operators ...
More generally , we can consider differential operators of an arbitrary order
defined on the space of smooth loops in M ' . It is natural to call such operators
ordinary differential operators . The ordinary elliptic quasilinear differential
operators ...
Sayfa 569
By ( 3 . 1 ) , we conclude that Gs2 ( 0 , 0 ) ▻ . Then ( 3 . 7 ) becomes ( 3 . 8 ) 5 ( 1
+ e ) ( p - 1 ) ( S ) - P ( w ) " ( f 14 - 15 cm ) " . But Mo is an arbitrary compact set in
the upper half - space , and ε is an arbitrary positive number . Therefore , ( 3 .
By ( 3 . 1 ) , we conclude that Gs2 ( 0 , 0 ) ▻ . Then ( 3 . 7 ) becomes ( 3 . 8 ) 5 ( 1
+ e ) ( p - 1 ) ( S ) - P ( w ) " ( f 14 - 15 cm ) " . But Mo is an arbitrary compact set in
the upper half - space , and ε is an arbitrary positive number . Therefore , ( 3 .
Sayfa 934
where [ ( y ) is the standard gamma function and ( y ) is an arbitrary periodic
function , Sly + 1 ) = 4 ( y ) . If we set $ ( y ) = 1 , then for an appropriate choice of
the contour C the integral Ii ( see ( 2 . 1 ) ) is none other than the Meijer function ...
where [ ( y ) is the standard gamma function and ( y ) is an arbitrary periodic
function , Sly + 1 ) = 4 ( y ) . If we set $ ( y ) = 1 , then for an appropriate choice of
the contour C the integral Ii ( see ( 2 . 1 ) ) is none other than the Meijer function ...
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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