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74 sonuçtan 1-3 arası sonuçlar
Sayfa 472
1 ) , i . e . , it only depends on the values of the vector fields at points . For any X0 ,
. . . , Xk - 1 € CR ( TM ) , we have Dku ( X0 , X1 , . . . , Xk - 1 ) k - 1 = V ' aux , Dk - lu
( X1 , . . . , Xk - 1 ) - Dk - lu ( X1 , . . . , VX , Xi , . . . , Xx - 1 ) i = 1 ( for the case of ...
1 ) , i . e . , it only depends on the values of the vector fields at points . For any X0 ,
. . . , Xk - 1 € CR ( TM ) , we have Dku ( X0 , X1 , . . . , Xk - 1 ) k - 1 = V ' aux , Dk - lu
( X1 , . . . , Xk - 1 ) - Dk - lu ( X1 , . . . , VX , Xi , . . . , Xx - 1 ) i = 1 ( for the case of ...
Sayfa 483
For a nonautonomous vector field f ( s , u ) on M ' , the solutions of the equation -
du 04 ( 8 ) = f ( s , u ( s ) ) , SES " , coincide with the periodic trajectories of the
vector field f ( s , u ) . More generally , we can consider differential operators of an
...
For a nonautonomous vector field f ( s , u ) on M ' , the solutions of the equation -
du 04 ( 8 ) = f ( s , u ( s ) ) , SES " , coincide with the periodic trajectories of the
vector field f ( s , u ) . More generally , we can consider differential operators of an
...
Sayfa 494
In particular , the operator Vyuo , f ) is Fredholm , and its index is equal to indful A
. Proof . First , we note that if 0 , ( t , s ) : Ty ( t ) M ' → Tx ( s ) M ' is the parallel
translation along a curve y , then for every vector field w ( t ) E Ty ( t ) M ' along
this ...
In particular , the operator Vyuo , f ) is Fredholm , and its index is equal to indful A
. Proof . First , we note that if 0 , ( t , s ) : Ty ( t ) M ' → Tx ( s ) M ' is the parallel
translation along a curve y , then for every vector field w ( t ) E Ty ( t ) M ' along
this ...
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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