An inverse boundary value problem for a second-order elliptic equation with periodic and integral condition is investigated. The problem is considered in a rectangular domain. To investigate the solvability of the inverse problem, we perform a conversion from the original problem to some auxiliary inverse problem with trivial boundary conditions. By the contraction mapping principle we prove the existence and uniqueness of solutions of the auxiliary problem. Then we make a conversion to the stated problem again and, as a result, we obtain the solvability of the inverse problem.
inverse boundary value problem elliptic equation Fourier method classical solution
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 25 Haziran 2020 |
Gönderilme Tarihi | 4 Şubat 2020 |
Kabul Tarihi | 18 Nisan 2020 |
Yayımlandığı Sayı | Yıl 2020 |