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Young, E. C.

Uniqueness theorems for certain improperly posed problems. (English) Zbl 0209.12505

Bull. Am. Math. Soc. 77, 253-256 (1971).
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Cited in 2 Documents

MSC:

35R25 Ill-posed problems for PDEs
35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs
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References:

[1] D. G. Bourgin and R. Duffin, The Dirichlet problem for the virbrating string equation, Bull. Amer. Math. Soc. 45 (1939), 851 – 858. · Zbl 0023.04201
[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. · Zbl 0157.41203 · doi: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. · Zbl 0177.14103
[4] Vincent G. Sigillito, On the uniqueness of solutions of certain improperly posed problems., Proc. Amer. Math. Soc. 24 (1970), 828 – 831. · Zbl 0189.10503
[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. · Zbl 0338.35079 · doi:10.1080/00036817508839100
[6] David W. Fox, The solution and Huygens’ principle for a singular Cauchy problem, J. Math. Mech. 8 (1959), 197 – 219. · Zbl 0134.07802
[7] Eutiquio C. Young, Uniqueness of solutions of the Dirichlet and Neumann problems for hyperbolic equations, Trans. Amer. Math. Soc. 160 (1971), 403 – 409. · Zbl 0225.35062
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