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78 sonuçtan 1-3 arası sonuçlar
Sayfa 738
8 ) uniquely define a sequence { un } of entire functions such that the nth term
possesses the asymptotic expansion ( 6 . 9 ) un ( x ) ~ sankx ... Proposition 6 . 1 .
There exist unique entire functions un , U2 , and uz which satisfy the equations (
6 .
8 ) uniquely define a sequence { un } of entire functions such that the nth term
possesses the asymptotic expansion ( 6 . 9 ) un ( x ) ~ sankx ... Proposition 6 . 1 .
There exist unique entire functions un , U2 , and uz which satisfy the equations (
6 .
Sayfa 1182
4 is unconditionally unique . The boundary aM ( F ) is obviously thin if M ( F ) is
convex . The cone V . KM induced by the operator V . Fm is an example of a
convex M ( F ) . Therefore it is possible to augment Theorem 5 . 5 with a
uniqueness ...
4 is unconditionally unique . The boundary aM ( F ) is obviously thin if M ( F ) is
convex . The cone V . KM induced by the operator V . Fm is an example of a
convex M ( F ) . Therefore it is possible to augment Theorem 5 . 5 with a
uniqueness ...
Sayfa 1206
... equation : ( 6 . 1 ) fi = - v . Vxf + Lf + F ( f , f ) , ( t , x , v ) E RI * R } < R } , ( 6 . 2 ) fli
= 0 = fo with operators L and I given by ( 5 . 1 ) and ( 5 . 2 ) . The theorem below
ensures unique global solvability of this problem for sufficiently small initial data ...
... equation : ( 6 . 1 ) fi = - v . Vxf + Lf + F ( f , f ) , ( t , x , v ) E RI * R } < R } , ( 6 . 2 ) fli
= 0 = fo with operators L and I given by ( 5 . 1 ) and ( 5 . 2 ) . The theorem below
ensures unique global solvability of this problem for sufficiently small initial data ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
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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