An Inverse Problem for the Equation of Electrodynamicswith Nonlinear Absorption

Key Points

• The research aims to determine unknown functions related to the absorption coefficient in electrodynamics.
• Considered the inverse problem of determining functions σ₀(x) and σ₁(x) in the absorption coefficient.
• Obtained a priori estimates for solutions of the direct problem.
• Proved existence and uniqueness theorems for solutions to both direct and inverse problems.
• Established conditions under which solutions to the inverse problem are uniquely determined.
• Showed that the estimated solutions align with existing theoretical frameworks.
• Proved the existence of solutions to both direct and inverse problems under certain assumptions.