International Conference on Mathematics and Mathematics Education, Konya, Türkiye, 11 - 13 Temmuz 2019, cilt.1, no.1, ss.208-209
The inverse problem of determining unknown coefficient in a quasi-linear
parabolic equation has generated an increasing amount of interest from engineers
and scientist. The problem of recovering unknown source function in the
mathematical model of a physical phenomena is frequently encountered. These
problems were studied by many scientists with different boundary conditions (Cannon
1988, Pourgholia 2010, Ford 1973, Li 2015). The problem proposed in this study can
be used in many application such as investigation of heat distribution on laser
material interaction. In this article, we worked with periodic boundary conditions
unlike others. Moreover, from a technical point of view, these boundary conditions
are more difficult. This condition was studied by (Baglan 2010,Baglan 2014,Halilov
2009) with different direct problems. Also, in this article, we worked with pseudoparabolic
inverse problem.
Consider the problem of finding a pair of functions (a,u) satisfying the following
quasilinear pseudo-parabolic problem:
In this research, we examine an inverse problem of a quasilinear pseudoparabolic
equation with periodic boundary condition.We consider the initial-boundary