St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
81 sonuçtan 1-3 arası sonuçlar
Sayfa 499
... lemma . - Lemma 6.2 . Let A be a quasilinear elliptic differential operator of order k ≥ 2 whose symbol does not depend on the derivatives of order k 1. Then problem ( 5.6 ) , ( 5.7 ) is compact with respect to a region U if and only ...
... lemma . - Lemma 6.2 . Let A be a quasilinear elliptic differential operator of order k ≥ 2 whose symbol does not depend on the derivatives of order k 1. Then problem ( 5.6 ) , ( 5.7 ) is compact with respect to a region U if and only ...
Sayfa 740
... lemma imply that -1 - | t − x ≤ max ( yn , | t − zn | / 2 ) , - whence 1/2 ≤ | t − zn│ ̄1 | x − zn | ≤ 2 , and therefore , 1/4 ≤ y ′ ( t ) / 4 ′ ( x ) ≤ 4 . - Lemma 2. We have ( 11 ) sup | k ( t , x ) | ≤ C1 [ p ′ ( x ) + ( p ...
... lemma imply that -1 - | t − x ≤ max ( yn , | t − zn | / 2 ) , - whence 1/2 ≤ | t − zn│ ̄1 | x − zn | ≤ 2 , and therefore , 1/4 ≤ y ′ ( t ) / 4 ′ ( x ) ≤ 4 . - Lemma 2. We have ( 11 ) sup | k ( t , x ) | ≤ C1 [ p ′ ( x ) + ( p ...
Sayfa 788
... Lemma 1 ] , we have TG Sn T , whence Sn for any n , a contradiction . - PGT G1 for any n < ∞ . 2 TGST and × ( T ) ≥ n ᄆ Ho is a Co - contraction with Then Re has property ( P ) . Lemma 5.4 . Let 1 < k < ∞ , and suppose that Ro : Ho ...
... Lemma 1 ] , we have TG Sn T , whence Sn for any n , a contradiction . - PGT G1 for any n < ∞ . 2 TGST and × ( T ) ≥ n ᄆ Ho is a Co - contraction with Then Re has property ( P ) . Lemma 5.4 . Let 1 < k < ∞ , and suppose that Ro : Ho ...
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