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