Second order abstract differential equations of elliptic type set in R+

• Autorzy: Eltaief A. , Maingot S.
• Języki publikacji: EN

Abstrakty

EN

In this paper we give some new results on complete abstract second order differential equations of elliptic type set in R+. In the framework of UMD spaces, we use the celebrated Dore-Venni Theorem to prove existence and uniqueness for the strict solution. We will use also the Da Prato-Grisvard Sum Theory to furnish results when the space is not supposed to be a UMD space.

Słowa kluczowe

EN

abstract second order differential equations; boundary conditions; UMD spaces; bounded imaginary powers; maximal regularity; Dore-Venni Theorem; Da Prato-Grisvard Sum Theory

PL

abstrakcyjne równania różniczkowe drugiego rzędu; warunki brzegowe; przestrzenie UMD; regularność maksymalna; twierdzenie Dore-Venni; teoria sumy Da Prato-Grisvarda

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 4
• Strony: 709--727
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Eltaief A.

• Laboratoire de Mathématiques, U.F.R. Sciences et Techniques, Université du Havre, B.P. 540, 76058 Le Havre Cedex, France

autor

Maingot S.

• Laboratoire de Mathématiques, U.F.R. Sciences et Techniques, Université du Havre, B.P. 540, 76058 Le Havre Cedex, France

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