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[00326] Estimating the lowest-order eigenvalue in Sturm-Liouville boundary value problem

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G401
  • Type : Contributed Talk
  • Abstract : We investigate a special case of the Sturm–Liouville boundary value problem $($BVP$)$ and examine the BVP in the Schrödinger form. By considering a reciprocal quadratic form of the corresponding invariant function, we estimate the lowest-order eigenvalue without solving the eigenvalue problem but by utilizing the localized landscape and effective potential functions. Some combinations of parameter values yield poor spectrum estimates. Other combinations are satisfactorily although the values tend to overestimate results from numerical computations.
  • Classification : 34B05, 34B24, 34L15
  • Format : Talk at Waseda University
  • Author(s) :
    • Natanael Karjanto (Sungkyunkwan University)