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77 sonuçtan 1-3 arası sonuçlar
Sayfa 470
INTRODUCTION The present paper is devoted to the theory of quasilinear elliptic
differential operators acting on the mappings u : M → M ' , where M and M ' are
smooth manifolds without boundary . By a differential operator A we mean a ...
INTRODUCTION The present paper is devoted to the theory of quasilinear elliptic
differential operators acting on the mappings u : M → M ' , where M and M ' are
smooth manifolds without boundary . By a differential operator A we mean a ...
Sayfa 477
Thus , in the case where M = Rp and M ' = RM ' , our definition of a quasilinear
differential operator coincides with the classical one . In particular , the “
characteristic polynomial ” A ( w ) of A is the following ( n ' x n ' ) - matrix : ( 2 . 7 ) o
aljk - lu ...
Thus , in the case where M = Rp and M ' = RM ' , our definition of a quasilinear
differential operator coincides with the classical one . In particular , the “
characteristic polynomial ” A ( w ) of A is the following ( n ' x n ' ) - matrix : ( 2 . 7 ) o
aljk - lu ...
Sayfa 479
a differential operator covariantly . Namely , let A be a morphism of bundles , sym
- Lym A TM ' , ( 2 . 11 ) ĐẾ , " - 1 , M ' . Definition 2 . 6 . A morphism ( 2 . 11 ) is said
to be quasilinear if it is fiberwise affine as a mapping of vector spaces .
a differential operator covariantly . Namely , let A be a morphism of bundles , sym
- Lym A TM ' , ( 2 . 11 ) ĐẾ , " - 1 , M ' . Definition 2 . 6 . A morphism ( 2 . 11 ) is said
to be quasilinear if it is fiberwise affine as a mapping of vector spaces .
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İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
algebra apply arbitrary assume Banach space base basis belongs boundary bounded called Chapter coefficients coincides compact complete Consequently consider constant constructed contains contraction 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 factorization 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 suffices Suppose Theorem theory transformation values vector zero