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85 sonuçtan 1-3 arası sonuçlar
Sayfa 478
In this case , the class of quasilinear differential operators has an equivalent
definition , which is more convenient for the treatment of specific operators . The
corresponding definitions are given in the present and the next subsections .
In this case , the class of quasilinear differential operators has an equivalent
definition , which is more convenient for the treatment of specific operators . The
corresponding definitions are given in the present and the next subsections .
Sayfa 852
Let Oi be the set of all zeros of Vi , and let A = { } ; } be the sequence of all
common zeros of the system ( W1 , . . . , Un ) ( with regard to multiplicity ) . We put
A ; = { \ } = 0 ; \ A and call Aį the set of noncommon zeros of the function Wi .
Definition 1 ...
Let Oi be the set of all zeros of Vi , and let A = { } ; } be the sequence of all
common zeros of the system ( W1 , . . . , Un ) ( with regard to multiplicity ) . We put
A ; = { \ } = 0 ; \ A and call Aį the set of noncommon zeros of the function Wi .
Definition 1 ...
Sayfa 857
Definitions 4 and 5 are equivalent . Proof . Suppose the conditions listed in
Definition 4 are fulfilled with A and do replaced by A and do , respectively . Since
the functions V1 , . . . , Un are of order ( at most ) p and of finite type ( with order p
) ...
Definitions 4 and 5 are equivalent . Proof . Suppose the conditions listed in
Definition 4 are fulfilled with A and do replaced by A and do , respectively . Since
the functions V1 , . . . , Un are of order ( at most ) p and of finite type ( with order p
) ...
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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