St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
78 sonuçtan 1-3 arası sonuçlar
Sayfa 807
... depends linearly on arbitrary coordinates ( y ) , i.e. , all the bia , iЄ I * , a € A¡ , depend linearly on ( y ) , then , for fixed , I ( ẞ ( y ) , č ) is a quasipolynomial of the form Σexp [ a ( y ) ] Qa ( Y1 , ... , YM ) , aЄA where ...
... depends linearly on arbitrary coordinates ( y ) , i.e. , all the bia , iЄ I * , a € A¡ , depend linearly on ( y ) , then , for fixed , I ( ẞ ( y ) , č ) is a quasipolynomial of the form Σexp [ a ( y ) ] Qa ( Y1 , ... , YM ) , aЄA where ...
Sayfa 1108
... depend on the initial point ) . Proof . We consider a bounded domain of a fixed shape and fixed size on any of the planes H1 = C1 . From the fact that a polyintegrable vector field v on a component torus does not have singular points ...
... depend on the initial point ) . Proof . We consider a bounded domain of a fixed shape and fixed size on any of the planes H1 = C1 . From the fact that a polyintegrable vector field v on a component torus does not have singular points ...
Sayfa 1166
... depend on ɛ . Therefore , considering also 5 ) , we obtain the Hölder estimate ( 5.14 ) - sup ( x , 1 ) , ( x ' , 1 ' ) EQT \ u ( x , t ) — u ( x ' , t ' ) | ( xx'm + tt ' ) " & ≤c with constants y Є ( 0 , 1 / m ) and c > 0 not ...
... depend on ɛ . Therefore , considering also 5 ) , we obtain the Hölder estimate ( 5.14 ) - sup ( x , 1 ) , ( x ' , 1 ' ) EQT \ u ( x , t ) — u ( x ' , t ' ) | ( xx'm + tt ' ) " & ≤c with constants y Є ( 0 , 1 / m ) and c > 0 not ...
İçindekiler
HADAMARDS CONJECTURE | 634 |
1993 No 4 | 921 |
AND ESTIMATES OF THE GREEN FUNCTION | 1054 |
Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
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