Displaying similar documents to “Characterizing degenerate Sturm-Liouville problems.”

Inverse Problem for Fractional Diffusion Equation

Tuan, Vu Kim (2011)

Fractional Calculus and Applied Analysis

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MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30 We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion equation. If a lower bound on the diffusion coefficient is known a priori then even only two measurements are sufficient. The technique is based on possibility of extracting the full boundary spectral data from special lateral...

The Lane-Emden Function and Nonlinear Eigenvalues Problems

Ould Ahmed Izid Bih Isselkou (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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We consider a semilinear elliptic eigenvalues problem on a ball of n and show that all the eigenfunctions and eigenvalues, can be obtained from the Lane-Emden function.