St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
87 sonuçtan 1-3 arası sonuçlar
Sayfa 470
... equation ( more precisely , of a family of equations ) . This space is defined as the set of all pairs ( u , f ) , where f is a functional parameter of the equation and u is a solution of a fixed homotopy type [ u ] . By definition ...
... equation ( more precisely , of a family of equations ) . This space is defined as the set of all pairs ( u , f ) , where f is a functional parameter of the equation and u is a solution of a fixed homotopy type [ u ] . By definition ...
Sayfa 580
... Equation ( 5 ) is uniquely solvable . Under these assumptions , ( 5 ) is equivalent to the equation ( 6 ) u + Tu = A - 1ƒ , which will be considered in the space HA . Here T = A - 1B C ( HA , HA ) ; it is easy to check that T is compact ...
... Equation ( 5 ) is uniquely solvable . Under these assumptions , ( 5 ) is equivalent to the equation ( 6 ) u + Tu = A - 1ƒ , which will be considered in the space HA . Here T = A - 1B C ( HA , HA ) ; it is easy to check that T is compact ...
Sayfa 681
... equation ( 3.1 ) , and let uo be the solution of equation ( 3.2 ) with F 6-1 . Then : € 1o . As ε ← · 0 , the solutions u converge to uo weakly in G1 . 2o . As ε → 0 , the flows pe converge to the flow po weakly in G * . 4.2 . The ...
... equation ( 3.1 ) , and let uo be the solution of equation ( 3.2 ) with F 6-1 . Then : € 1o . As ε ← · 0 , the solutions u converge to uo weakly in G1 . 2o . As ε → 0 , the flows pe converge to the flow po weakly in G * . 4.2 . The ...
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