Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements

作者：Slodicka M^*

来源：Journal of Computational and Applied Mathematics, 2015, 289: 433-440.

DOI：10.1016/j.cam.2014.10.004

• Parabolic IBVP
• Inverse source problem
• Reconstruction
• Convergence
• Time discretization

A semilinear parabolic problem of second order with an unknown solely time-dependent source term is studied. The missing source is recovered from an additional integral measurement over the boundary. The global in time existence, uniqueness as well as the regularity of a solution are addressed. A new numerical scheme based on Rothe's method is designed and convergence of iterates towards the exact solution is shown.

• 出版日期2015-12-1