Download PDF - The first boundary value problem for the vibrating string equation in domains with piecewise smooth boundaryAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

The first boundary value problem for the vibrating string equation in domains with piecewise smooth boundary

Authors 1

Affiliations

  1. Institute of Mathematics, Russian Academy of Sciences, Siberian Branch, Universitetskiĭ Prosp. 4, 630090 Novosibirsk, Russia

Bibliography

  1. R. A. Aleksandryan, The spectral properties of the operator generated by a system of differential equations of S. L. Sobolev's type, Trudy Moskov. Mat. Obshch. 9 (1960), 455-505 (in Russian).
  2. J. Hadamard, On some topics connected with linear partial differential equations, Proc. Benares Math. Soc. 3 (1921), 39-48.
  3. F. John, The Dirichlet problem for a hyperbolic equation, Amer. J. Math. 63 (1) (1941), 141-154.
  4. A. A. Lyashenko, On a problem of S. L. Sobolev in domains with corners, preprint No. 27, Institute of Mathematics, Sib. Branch Acad. of Sci. of USSR, Novosibirsk 1987, 22 pp. (in Russian).
  5. B. D. Sleeman, Boundary value problems for the vibrating string equation, Proc. Roy. Soc. Edinburgh Ser. A 88 (1-2) (1981), 185-194.
Banach Center Publications
1992/27/2
Export to PBN, Opens in new tab
Pages:
317-321
Main language of publication
English
Published
1992
Exact and natural sciences