Uniqueness theorems for certain improperly posed problems
Author:
Eutiquio C. Young
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
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References | Similar Articles | Additional Information
- 1. D. G. Bourgin and R. Duffin, The Dirichlet problem for the virbrating string equation, Bull. Amer. Math. Soc. 45 (1939), 851–858. MR 729, https://doi.org/10.1090/S0002-9904-1939-07103-6
- 2. 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, https://doi.org/10.1016/0022-247X(67)90103-5
- 3. 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
- 4. Vincent G. Sigillito, On the uniqueness of solutions of certain improperly posed problems, Proc. Amer. Math. Soc. 24 (1970), 828–831. MR 254403, https://doi.org/10.1090/S0002-9939-1970-0254403-X
- 5. 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, https://doi.org/10.1080/00036817508839100
- 6. David W. Fox, The solution and Huygens’ principle for a singular Cauchy problem, J. Math. Mech. 8 (1959), 197–219. MR 0101960, https://doi.org/10.1512/iumj.1959.8.58015
- 7. 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, https://doi.org/10.1090/S0002-9947-1971-0282063-6
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1971-12706-4