St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
89 sonuçtan 1-3 arası sonuçlar
Sayfa 473
... mappings u : M → M ' . The mapping € jku : M → Jk defined by the rule x → jku ( x ) is called the k - jet extension of u . In particular , Jo = M × M ' , and the 0 - jet extension of u is simply its graph jou ( x ) = ( x , u ( x ) ...
... mappings u : M → M ' . The mapping € jku : M → Jk defined by the rule x → jku ( x ) is called the k - jet extension of u . In particular , Jo = M × M ' , and the 0 - jet extension of u is simply its graph jou ( x ) = ( x , u ( x ) ...
Sayfa 492
... mapping K : 0 → F is said to be finite- dimensional if there exists a subspace in F that has finite dimension and contains Im K. A mapping from 0 to F is quasifinite - dimensional if it has the form Off + K ( f ) € F , where K is a ...
... mapping K : 0 → F is said to be finite- dimensional if there exists a subspace in F that has finite dimension and contains Im K. A mapping from 0 to F is quasifinite - dimensional if it has the form Off + K ( f ) € F , where K is a ...
Sayfa 504
... mapping w : R2 → M ' on each compact subset of R2 . From ( 6.16 ) it follows that ( 6.17 ) || dw ( 0 ) || = 1 . By Corollary 6.3 , condition ( 6.13 ) ( which is fulfilled for every u , ) implies the inequality E ( u ) C. Since the mappings ...
... mapping w : R2 → M ' on each compact subset of R2 . From ( 6.16 ) it follows that ( 6.17 ) || dw ( 0 ) || = 1 . By Corollary 6.3 , condition ( 6.13 ) ( which is fulfilled for every u , ) implies the inequality E ( u ) C. Since the mappings ...
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