Geodesic
Existence of Solutions of an Ill-Posed Problem for the Vibrating String
Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 29-36

Voir la notice de l'article provenant de la source Cambridge University Press

The Dirichlet problem is examined for the vibrating string equation on a rectangle with commensurable sides. As is well-known, a solution, if it exists, is not unique. A necessary and sufficient condition is obtained on the boundary values for existence of solutions. A simple formula for the solution is obtained.
DOI : 10.4153/CMB-1982-003-6
Mots-clés : 35R25, 35C05 
Campbell, L. L. Existence of Solutions of an Ill-Posed Problem for the Vibrating String. Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 29-36. doi: 10.4153/CMB-1982-003-6
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