Bounded Solutions of Parabolic Equations in Continuous Function Spaces

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概要

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• This paper is concerned with the existence of bounded mild solutions to equations of the form u′(t) = Au(t) + f(t), where A generates a holomorphic semigroup that is not necessarily strongly continuous, and f is a bounded function. This problem arises when one considers a parabolic equation in spaces of continuous functions. The obtained results, that are stated in terms of spectral properties of the spectrum of A and the uniform spectrum of f, extend previous ones.

• 日本数学会函数方程式論分科会の論文

著者

• Minh Nguyen

  University of West Georgia

• Liu James

  James Madison University

• Phong Vu

  Ohio University

• N'Guérékata Gaston

  Morgan State University

関連論文

• Bounded Solutions of Parabolic Equations in Continuous Function Spaces

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