St. Petersburg Mathematical Journal, 11. cilt,1-542. sayfalarAmerican Mathematical Society, 2000 |
Kitabın içinden
81 sonuçtan 1-3 arası sonuçlar
Sayfa 520
4. The existence and uniqueness of strong solutions . By a strong solution of the problem ( 4.17 ) ( 4.18 ) L ( Dy , 5 , 7 ) u ( y ) = f ( y ) , y € K , u ( y ) = 0 , У Є ОК . for f L2 ( K ) we mean a solution of the equation A ( C , T ) ...
4. The existence and uniqueness of strong solutions . By a strong solution of the problem ( 4.17 ) ( 4.18 ) L ( Dy , 5 , 7 ) u ( y ) = f ( y ) , y € K , u ( y ) = 0 , У Є ОК . for f L2 ( K ) we mean a solution of the equation A ( C , T ) ...
Sayfa 523
... solutions . By a strong ( 3 , q ) -solution of problem ( 4.17 ) , ( 4.18 ) with right - hand side ƒ E RH3 , q ( K ; p ) we mean a solution of the equation As.q ( S , 7 ) u = ƒ . Propositions 5.1 and 5.2 result in the following theorem ...
... solutions . By a strong ( 3 , q ) -solution of problem ( 4.17 ) , ( 4.18 ) with right - hand side ƒ E RH3 , q ( K ; p ) we mean a solution of the equation As.q ( S , 7 ) u = ƒ . Propositions 5.1 and 5.2 result in the following theorem ...
Sayfa 529
... solution u of the problem ( 1.8 ) , ( 1.9 ) . We have ( 7.3 ) || u ; DV3 , q ( Q ; Y ) || ≤ c ( ß , q ) || ƒ ; RVß , q ( Q ; Y ) || , where c is a constant independent of y > 0 . 2 ) If ẞ Є ( Bi + 1 , Bi ) , then a strong ( ẞ , q ) ...
... solution u of the problem ( 1.8 ) , ( 1.9 ) . We have ( 7.3 ) || u ; DV3 , q ( Q ; Y ) || ≤ c ( ß , q ) || ƒ ; RVß , q ( Q ; Y ) || , where c is a constant independent of y > 0 . 2 ) If ẞ Є ( Bi + 1 , Bi ) , then a strong ( ẞ , q ) ...
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