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

• Autorzy: A. A. Lyashenko
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1992
• Tom: 27
• Numer: 2
• Strony: 317-321

Daty

wydano

1992

Twórcy

autor

A. A. Lyashenko

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

Bibliografia

• [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.