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38 sonuçtan 1-3 arası sonuçlar
Sayfa 1103
The straightening of trajectories on a torus of dimension three or higher is proved
in the case when the polyintegrable field has no singular points . There are two
important higher - dimensional generalizations of Hamiltonian vector fields on ...
The straightening of trajectories on a torus of dimension three or higher is proved
in the case when the polyintegrable field has no singular points . There are two
important higher - dimensional generalizations of Hamiltonian vector fields on ...
Sayfa 1107
A polyintegrable smooth vector field v without singular points on the
threedimensional torus T3 = R } / Z3 can be reduced to the form f . vo , where vo
is a constant ( translation - invariant ) vector field on the torus and f is a positive
function , by a ...
A polyintegrable smooth vector field v without singular points on the
threedimensional torus T3 = R } / Z3 can be reduced to the form f . vo , where vo
is a constant ( translation - invariant ) vector field on the torus and f is a positive
function , by a ...
Sayfa 1108
Thus , the field V / 1V12 on the torus is smooth , bounded , and tangent to the “
planes ” dH = 0 . The trajectories of this field extend unboundedly . The derivative
of the function H2 along this field is equal to 1 . Therefore H2 varies along the ...
Thus , the field V / 1V12 on the torus is smooth , bounded , and tangent to the “
planes ” dH = 0 . The trajectories of this field extend unboundedly . The derivative
of the function H2 along this field is equal to 1 . Therefore H2 varies along the ...
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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