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77 sonuçtan 1-3 arası sonuçlar
Sayfa 633
Let L be an elliptic differential operator of order / > n / 2 with constant real
coefficients in the space R ” . Denote by the adjoint differential operator .
Suppose that a bounded domain 22 CRM has Lipschitz boundary an . Then the
estimate - EG2 ...
Let L be an elliptic differential operator of order / > n / 2 with constant real
coefficients in the space R ” . Denote by the adjoint differential operator .
Suppose that a bounded domain 22 CRM has Lipschitz boundary an . Then the
estimate - EG2 ...
Sayfa 656
A distribution u € D ' ( S2 ) is said to satisfy the differential inequality Lu > 0 if the
distribution A = Lu is positive . Denote by 2 ) = { ue D ' ( 92 ) : Lu > 0 } the set of
solutions of the differential inequality Lu > 0 in the space D ' ( 92 ) . It is clear that
in ...
A distribution u € D ' ( S2 ) is said to satisfy the differential inequality Lu > 0 if the
distribution A = Lu is positive . Denote by 2 ) = { ue D ' ( 92 ) : Lu > 0 } the set of
solutions of the differential inequality Lu > 0 in the space D ' ( 92 ) . It is clear that
in ...
Sayfa 657
One can become familiar with these and certain other properties of elliptic
differential inequalities in D ' ( 92 ) in [ 29 ] . The differential inequalities below will
be regarded in the space L2 ( 92 ) . Therefore , it is again assumed that 1 > n / 2 .
One can become familiar with these and certain other properties of elliptic
differential inequalities in D ' ( 92 ) in [ 29 ] . The differential inequalities below will
be regarded in the space L2 ( 92 ) . Therefore , it is again assumed that 1 > n / 2 .
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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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