Oussaeif Taki-Eddine, Bouziani Abdelfatah, Nonlocal problem for a third order partial differential equation of mixed type with an integral two-space-variables condition, Vol. 2017 (2017), Article ID 16, pp. 1-16

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DOI: 10.23952/cot.2017.16

 

Received November 10,  2016; Accepted February 20, 2017; Publisehd March 2, 2017

 

Abstract.

We study a mixed problem with two-space-variables condition for a class of third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on a priori estimate “energy inequality” and on the density of the range of the operator generated by the considered problem.

 

How to Cite this Article:

Oussaeif Taki-Eddine, Bouziani Abdelfatah, Nonlocal problem for a third order partial differential equation of mixed type with an integral two-space-variables condition, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 16, pp. 1-16.