Complete Abstract Differential Equations of Elliptic Type in UMD Spaces

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概要

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• In this paper we give new results on complete abstract second order differential equations of elliptic type in UMD Banach spaces. Existence, uniqueness and maximal regularity of the strict solution are proved using the celebrated Dore-Venni Theorem. This work completes the ones studied in the framework of Hölder spaces, see [7] and [8].

• 日本数学会函数方程式論分科会の論文

著者

• Favini Angelo

  Universita Bologna

• Yagi Atsushi

  Osaka University

• Labbas Rabah

  Université du Havre

• Maingot Stéphane

  Université du Havre

• Tanabe Hiroki

  Otemon Gakuin University

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• A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications
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