“YANGI AVLOD ILMIY TADQIQOTLARI” respublika ilmiy-amaliy konferensiyasi
INVERSE COEFFICIENT PROBLEM FOR A DEGENERATE PARABOLIC EQUATION WITH THE BESSEL OPERATOR
Fergana State University
We study a direct and an inverse coefficient problem for a degenerate parabolic equation involving the Euler-Bessel operator with a general degeneracy parameter v∈[0,1). The unknown time-dependent coefficient r(t) is recovered from an integral overdetermination condition. Using the Fourier-Bessel spectral method, the inverse problem is reduced to a Volterra integral equation of the second kind, for which existence and uniqueness of the solution pair are established. A Lipschitz stability estimate is obtained, showing that the inverse problem is conditionally well posed.