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 vibrating string equation*, Bull. Amer. Math. Soc. 45 (1939), 851-858. MR 1, 120. MR**729****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 37 #1807. MR**226217****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 38 #4817. MR**236522****4.**V. G. Sigillito,*On the uniqueness of solutions of certain improperly posed problems*, Proc. Amer. Math. Soc. 24 (1970), 828-831. MR**254403****5.**D. R. Dunninger and R. J. Weinacht,*Improperly posed problems for singular equations of the fourth order*, Appl. Anal. (to appear). MR**397208****6.**D. W. Fox,*The solution and Huygens' principle for a singular Cauchy problem*, J. Math. Mech. 8 (1959), 197-220. MR 21 #762. MR**101960****7.**E. C. Young,*Uniqueness of solutions of the Dirichlet and Neumann problems for hyperbolic equations*, Trans. Amer. Math. Soc. (to appear). MR**282063**

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DOI:
https://doi.org/10.1090/S0002-9904-1971-12706-4