On the Solvability and the Maximal Regularity of Complete Abstract Differential Equations of Elliptic Type

MR2126325 Favini, Angelo, Labbas, Rabah, Maingot, Stéphane, Tanabe, Hiroki and Yagi, Atsushi Angelo FAVINI, Rabah LABBAS, Stéphane MAINGOT, Hiroki TANABE and Atsushi YAGI On the Solvability and the Maximal Regularity of Complete Abstract Differential Equations of Elliptic Type Funkcialaj Ekvacioj. Serio Internacia 47 2004 423--452 http://fe.math.kobe-u.ac.jp/FE/FullPapers/47-3/47_423.pdf http://www.ams.org/mathscinet-getitem?mr=MR2126325 In this paper we give some new results on complete abstract second order differential equations of elliptic type in a Banach space. Existence, uniqueness and maximal regularity of the strict solution are proved under some natural assumptions generalizing previous theorems on the subject. Second order abstract differential equation, Boundary condition, Analytic semigroup, Maximal regularity, Elliptic equation, Degenerate parabolic equation. 35G10, 34K10, 35J25, 35J40, 35K65, 47D06. 47-423 2004 On the Solvability and the Maximal Regularity of Complete Abstract Differential Equations of Elliptic Type FAVINI, Angelo, LABBAS, Rabah, MAINGOT, Stéphane, TANABE, Hiroki and YAGI, Atsushi Angelo FAVINI, Rabah LABBAS, Stéphane MAINGOT, Hiroki TANABE and Atsushi YAGI

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