Geodesic
Eigenvalue problem for the Laplace operator with displacement in derivatives
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2014), pp. 41-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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The statement of the problem on the determination of eigen- and adjoint-functions for Laplace operator in $s$-dimensional unit ball with displacement in derivatives is given. For $s=2$ the conditions are obtained for the existence of adjoint functions of the not higher than three order and their computation is made. The case of arbitrary $s$ is the subject of future work.
Keywords: Laplace operator, unit ball in $R^s$, eigenvalues, eigen and adjoint functions for $s=2$. 
@article{VSGU_2014_3_a3,
     author = {A. V. Gerasimov and B. V. Loginov and N. N. Yuldashev},
     title = {Eigenvalue problem for the {Laplace} operator with displacement in derivatives},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {41--45},
     year = {2014},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2014_3_a3/}
}
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A. V. Gerasimov; B. V. Loginov; N. N. Yuldashev. Eigenvalue problem for the Laplace operator with displacement in derivatives. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2014), pp. 41-45. http://geodesic.mathdoc.fr/item/VSGU_2014_3_a3/

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