## Abstract and Applied Analysis

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

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

#### 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