St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
56 sonuçtan 1-3 arası sonuçlar
Sayfa 884
... domain D ( G ) admits closure ; here 7 = σ − iy , σ € R , y > 0. The kernel of the closed operator is trivial , and the range of this operator coincides with L2 ( G ) . The inverse operator is bounded by ( 15 ) . The same is true for M ...
... domain D ( G ) admits closure ; here 7 = σ − iy , σ € R , y > 0. The kernel of the closed operator is trivial , and the range of this operator coincides with L2 ( G ) . The inverse operator is bounded by ( 15 ) . The same is true for M ...
Sayfa 887
... domain G. The corresponding statements for the problem in K are formulated at the end of the subsection . With problem ( 5 ) , ( 6 ) in a bounded domain G with conical point O , we associate the operator v → M3 ( T ) v : = M ( Dr , Dy ...
... domain G. The corresponding statements for the problem in K are formulated at the end of the subsection . With problem ( 5 ) , ( 6 ) in a bounded domain G with conical point O , we associate the operator v → M3 ( T ) v : = M ( Dr , Dy ...
Sayfa 902
... domain of the closed operator . In what follows , M ( E , T ) and DM ( § , 7 ) denote the closed operator and its domain . The proof of the next statement is similar to those of Propositions 1.3.6 and 1.3.7 . Proposition 2.5.1 . Ker M ...
... domain of the closed operator . In what follows , M ( E , T ) and DM ( § , 7 ) denote the closed operator and its domain . The proof of the next statement is similar to those of Propositions 1.3.6 and 1.3.7 . Proposition 2.5.1 . Ker M ...
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