St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
77 sonuçtan 1-3 arası sonuçlar
Sayfa 470
... differential operators acting on the mappings u : M → M ' , where M and M ' are smooth manifolds without boundary . By a differential operator ... differential operator . Such an operator is called quasilinear elliptic if it is a quasilinear ...
... differential operators acting on the mappings u : M → M ' , where M and M ' are smooth manifolds without boundary . By a differential operator ... differential operator . Such an operator is called quasilinear elliptic if it is a quasilinear ...
Sayfa 479
a differential operator covariantly . Namely , let A be a morphism of bundles , k A → 4-0 Lsym → TM ' , p = 0 ... DIFFERENTIAL OPERATORS 3.1 . Basic properties . QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS 479.
a differential operator covariantly . Namely , let A be a morphism of bundles , k A → 4-0 Lsym → TM ' , p = 0 ... DIFFERENTIAL OPERATORS 3.1 . Basic properties . QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS 479.
Sayfa 480
§3 . LINEARIZED DIFFERENTIAL OPERATORS 3.1 . Basic properties . In this section , we assume that M is a compact manifold , and that M ' is equipped with a Riemann structure g ... operator §3 Linearized differential operators Basic properties.
§3 . LINEARIZED DIFFERENTIAL OPERATORS 3.1 . Basic properties . In this section , we assume that M is a compact manifold , and that M ' is equipped with a Riemann structure g ... operator §3 Linearized differential operators Basic properties.
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