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

Bouziani, Abdelfatah

Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 517-530 / Harvested from Project Euclid

Résumé

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.

Publié le : 2002-05-14
Classification: 35K20, 35D05, 35B45, 35B30

@article{1050348332,
     author = {Bouziani, Abdelfatah},
     title = {On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 517-530},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348332}
}

Bouziani, Abdelfatah. On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  517-530. http://gdmltest.u-ga.fr/item/1050348332/