Abstract and Applied Analysis

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.

Article information

Source
Abstr. Appl. Anal., Volume 7, Number 10 (2002), 517-530.

Dates
First available in Project Euclid: 14 April 2003

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1050348332

Digital Object Identifier
doi:10.1155/S1085337502206041

Mathematical Reviews number (MathSciNet)
MR1932703

Zentralblatt MATH identifier
1014.35039

Subjects
Primary: 35K20: Initial-boundary value problems for second-order parabolic equations 35D05
Secondary: 35B45: A priori estimates 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx]

Citation

Bouziani, Abdelfatah. On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations. Abstr. Appl. Anal. 7 (2002), no. 10, 517--530. doi:10.1155/S1085337502206041. https://projecteuclid.org/euclid.aaa/1050348332


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References

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