St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
86 sonuçtan 1-3 arası sonuçlar
Sayfa 651
... estimate ( 3.4 ) a2 ≤ 2 . Now , the difference of the forms a ( t ) – a ( 0 ) is equal to the form ( 3.5 ) 2t Re ( Xou , X1u ) + t2 || X1u || 2 , u € d , which gives rise to an operator T , in the spaced with the metric form a ( 0 ) ...
... estimate ( 3.4 ) a2 ≤ 2 . Now , the difference of the forms a ( t ) – a ( 0 ) is equal to the form ( 3.5 ) 2t Re ( Xou , X1u ) + t2 || X1u || 2 , u € d , which gives rise to an operator T , in the spaced with the metric form a ( 0 ) ...
Sayfa 655
... estimate ( 5.9 ) follows . || Go || ≤ C2 ( cxt2 + ε2 ) −2 | t | 3 ≤ c1C2 ( c.t2 + ε2 ) −1 | t | , Remark 5.3 . Estimate ( 5.9 ) is two - parametric . For t fixed , the operator - valued function G ( ɛ , t , d ) is bounded as ɛ → 0 ...
... estimate ( 5.9 ) follows . || Go || ≤ C2 ( cxt2 + ε2 ) −2 | t | 3 ≤ c1C2 ( c.t2 + ε2 ) −1 | t | , Remark 5.3 . Estimate ( 5.9 ) is two - parametric . For t fixed , the operator - valued function G ( ɛ , t , d ) is bounded as ɛ → 0 ...
Sayfa 672
... estimate the difference ( 3.3 ) F ( ɛ , k ) = ( Â ( k ; g ) + ε2Q ) −1 − ( Â ( k ; go ) + ε2Q ) −1 . In accordance with Subsection 1.5.3 , the constant C = 2 - 1C + ( 38 ) 1 in ( 1.5.20 ) - ( 1.5.22 ) is expressed in terms of ...
... estimate the difference ( 3.3 ) F ( ɛ , k ) = ( Â ( k ; g ) + ε2Q ) −1 − ( Â ( k ; go ) + ε2Q ) −1 . In accordance with Subsection 1.5.3 , the constant C = 2 - 1C + ( 38 ) 1 in ( 1.5.20 ) - ( 1.5.22 ) is expressed in terms of ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
6 The compactness property for quasilinear elliptic | 497 |
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algebra apply assume Banach space base basis belongs boundary bounded called coefficients coincides compact complete Consequently consider constant constructed contains convergence corresponding curve defined Definition denote depend determined difference differential operator domain effective eigenvalues element elliptic English transl equal equation equivalent estimate example exists extension fact field finite fixed formula function given homogenization ideal identity implies inequality integral isomorphism Journal Lemma linear mapping Math Mathematical matrix means method Moreover multiple norm normal notation obtain operator parameters particular periodic polynomial positive present problem Proof Proposition prove regular relation Remark representation respectively ring satisfies sequence side similar smooth solution space statement subgroup Subsection sufficiently Suppose Theorem theory transformation values vector zero