St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
80 sonuçtan 1-3 arası sonuçlar
Sayfa 814
... vector field v ( л.v = 0 ) , and quasilinear if for each vertical field v the form iσ is horizontal . For M = R " the quasilinear k - form ( p , q ) л : Т " R " R " is given by - σ = - ( q ) on the space of the bundle Σ Σ a¡j ( p , q ) ...
... vector field v ( л.v = 0 ) , and quasilinear if for each vertical field v the form iσ is horizontal . For M = R " the quasilinear k - form ( p , q ) л : Т " R " R " is given by - σ = - ( q ) on the space of the bundle Σ Σ a¡j ( p , q ) ...
Sayfa 1086
... VECTOR FIELDS WITH UNBOUNDED DIRICHLET INTEGRALS A problem of the type ( 1.4 ) , ( 1.9 ) very often cannot be solved in a class of vector fields with a finite Dirichlet integral over the entire domain . The reason for this can be seen ...
... VECTOR FIELDS WITH UNBOUNDED DIRICHLET INTEGRALS A problem of the type ( 1.4 ) , ( 1.9 ) very often cannot be solved in a class of vector fields with a finite Dirichlet integral over the entire domain . The reason for this can be seen ...
Sayfa 1107
... vector fields on the two - torus the analogous result was proved by Kolmogorov [ 7 ] . Lemma 1. Every trajectory of polyintegrable smooth vector field without singular points on the three - dimensional torus joins -∞ and + ∞ in a ...
... vector fields on the two - torus the analogous result was proved by Kolmogorov [ 7 ] . Lemma 1. Every trajectory of polyintegrable smooth vector field without singular points on the three - dimensional torus joins -∞ and + ∞ in a ...
İçindekiler
HADAMARDS CONJECTURE | 634 |
1993 No 4 | 921 |
AND ESTIMATES OF THE GREEN FUNCTION | 1054 |
Telif Hakkı | |
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According algebra analytic apply assertion assume asymptotic boundary bounded closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function given gives hence holds implies inequality integral introduce Lemma limit linear mapping Math Mathematical means measure multiplicity norm obtained Obviously operator pair particular perturbation positive possible 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 vector zero