Degenerate integrodifferential equations of parabolic type with Robin boundary conditions : L^2-theory

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概要

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• This paper is devoted to solving a degenerate parabolic integrodifferential equation with the Robin boundary condition. We begin with solving the equation without the integral delay term. For that purpose we introduce some new unknown function following Favini and Yagi [4] and construct the fundamental solution to the equation to be satisfied by it by the method of Kato and Tanabe [5]. Using this fundamental solution we transform the original problem to an easily solvable integral equation for the time derivative of the new unknown function.

• 社団法人 日本数学会の論文
• 2009-01-01

著者

• Lorenzi Alfredo

  Dipartimento Di Matematica Universita Degli Studi Di Milano

• FAVINI Angelo

  Dipartimento di Matematica Universita degli Studi di Bologna

• Tanabe Hiroki

  Hirai Sanso 12-13, Takarazuka, 665-0817, Japan

関連論文

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• Degenerate integrodifferential equations of parabolic type with Robin boundary conditions : L^2-theory
• DEGENERATE BOUNDARY-VALUE AND INITIAL BOUNDARY-VALUE PROBLEMS INCLUDING GENERAL WENTZELL BOUNDARY CONDITIONS
• REGULAR BOUNDARY VALUE PROBLEMS FOR ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS OF THE FOURTH ORDER IN UMD BANACH SPACES

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