Uniqueness theorems for certain improperly posed problems
HTML articles powered by AMS MathViewer
- by Eutiquio C. Young PDF
- Bull. Amer. Math. Soc. 77 (1971), 253-256
References
- D. G. Bourgin and R. Duffin, The Dirichlet problem for the virbrating string equation, Bull. Amer. Math. Soc. 45 (1939), 851–858. MR 729, DOI 10.1090/S0002-9904-1939-07103-6
- D. R. Dunninger and E. C. Zachmanoglou, The condition for uniqueness of solutions of the Dirichlet problem for the wave equation in coordinate rectangles, J. Math. Anal. Appl. 20 (1967), 17–21. MR 226217, DOI 10.1016/0022-247X(67)90103-5
- D. R. Dunninger and E. C. Zachmanoglou, The condition for uniqueness of the Dirichlet problem for hyperbolic equations in cylindrical domains, J. Math. Mech. 18 (1969), 763–766. MR 0236522
- Vincent G. Sigillito, On the uniqueness of solutions of certain improperly posed problems, Proc. Amer. Math. Soc. 24 (1970), 828–831. MR 254403, DOI 10.1090/S0002-9939-1970-0254403-X
- D. R. Dunninger and R. J. Weinacht, Improperly posed problems for singular equations of the fourth order, Applicable Anal. 4 (1974/75), no. 4, 331–341. MR 397208, DOI 10.1080/00036817508839100
- David W. Fox, The solution and Huygens’ principle for a singular Cauchy problem, J. Math. Mech. 8 (1959), 197–219. MR 0101960, DOI 10.1512/iumj.1959.8.58015
- Eutiquio C. Young, Uniqueness of solutions of the Dirichlet and Neumann problems for hyperbolic equations, Trans. Amer. Math. Soc. 160 (1971), 403–409. MR 282063, DOI 10.1090/S0002-9947-1971-0282063-6
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 253-256
- MSC (1970): Primary 3501, 3553, 3555, 3576
- DOI: https://doi.org/10.1090/S0002-9904-1971-12706-4
- MathSciNet review: 0268529