St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
63 sonuçtan 1-3 arası sonuçlar
Sayfa 483
... equal to zero . 4.2 . The Cauchy - Riemann operator . Let M = T2 = C / ( Z + iZ ) be the complex torus and M ' an arbitrary complex manifold . The following first order elliptic operators are defined on smooth mappings u : T2 - M ' : 1 ...
... equal to zero . 4.2 . The Cauchy - Riemann operator . Let M = T2 = C / ( Z + iZ ) be the complex torus and M ' an arbitrary complex manifold . The following first order elliptic operators are defined on smooth mappings u : T2 - M ' : 1 ...
Sayfa 900
... equal to 1 near the vertex . с B ) If 2а € ] π , 2π [ , then D ( K ) is spanned by the functions in Co ( K \ O ) satisfying ( 31 ) , by the functions XVs , k corresponding to the eigenvalues of B with Im λ ≤ 0 , and by the linear ...
... equal to 1 near the vertex . с B ) If 2а € ] π , 2π [ , then D ( K ) is spanned by the functions in Co ( K \ O ) satisfying ( 31 ) , by the functions XVs , k corresponding to the eigenvalues of B with Im λ ≤ 0 , and by the linear ...
Sayfa 901
... equal to 1 near the vertex and such that x = x . We rewrite this inequality as ( 47 ) || xU ; H } ( D , 1 ) || ≤ c { || xM ( Dç , T / \ T \ ) U ; Hg ( D ) || + || vU ; Hg ( D ) || } . Step 2. Estimating far from the edge . We prove ...
... equal to 1 near the vertex and such that x = x . We rewrite this inequality as ( 47 ) || xU ; H } ( D , 1 ) || ≤ c { || xM ( Dç , T / \ T \ ) U ; Hg ( D ) || + || vU ; Hg ( D ) || } . Step 2. Estimating far from the edge . We prove ...
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