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2002•Abstract and Applied AnalysisOpen access

On three‐point boundary value problem with a weighted integral condition for a class of singular parabolic equations

Abdelfatah Bouziani

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Abstract

We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.

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What this paper is about

We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.

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Available abstract

We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.

Key concepts: Mathematics, Uniqueness, Mathematical analysis, Boundary value problem, Class (philosophy), A priori and a posteriori, Singular integral, Parabolic partial differential equation

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