Inverse problem for interior spectral data of the Sturm-Liouville operator with a potential locally smooth

Key Points

• Solutions to the inverse problem show unique potential properties with high smoothness, enhancing computational methods.
• The analysis was conducted on interior spectral data of a Sturm-Liouville operator, focusing on smooth potentials.
• The approach involved mathematical modeling of spectral data to determine underlying potential characteristics.
• Successful solutions could improve various applications in physics and engineering, particularly in mathematical physics.