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88 sonuçtan 1-3 arası sonuçlar
Sayfa 754
By the definition of an orbit compatible with h and u° C ) = 10 ( - ) , t is a Lebesgue
point of the Carathéodory function H ( 1 , w ) , and a ( O ) C Leb [ u ; ( : ) ] for j = 0 .
For j = 1 the same is true by the construction of the function ul ( . ) = ua ( . ) .
By the definition of an orbit compatible with h and u° C ) = 10 ( - ) , t is a Lebesgue
point of the Carathéodory function H ( 1 , w ) , and a ( O ) C Leb [ u ; ( : ) ] for j = 0 .
For j = 1 the same is true by the construction of the function ul ( . ) = ua ( . ) .
Sayfa 814
Definition . A formo on the space of the bundle a is called horizontal if iyo = 0 for
every vertical vector field v ( 1 V = 0 ) , and quasilinear if for each vertical field v
the form iyo is horizontal . For M = RTM the quasilinear k - form ( p , q ) → ( q ) on
...
Definition . A formo on the space of the bundle a is called horizontal if iyo = 0 for
every vertical vector field v ( 1 V = 0 ) , and quasilinear if for each vertical field v
the form iyo is horizontal . For M = RTM the quasilinear k - form ( p , q ) → ( q ) on
...
Sayfa 887
However , instead of the class XS itself , we need its trace on the set E . Let us
give a precise definition . Definition . se J if fe Xs and f ( z ) < cd ( z ) s . Evidently ,
J is a subspace of Xs . We define the trace space XS ( E ) as follows : XS ( E ) =
XS ...
However , instead of the class XS itself , we need its trace on the set E . Let us
give a precise definition . Definition . se J if fe Xs and f ( z ) < cd ( z ) s . Evidently ,
J is a subspace of Xs . We define the trace space XS ( E ) as follows : XS ( E ) =
XS ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero