The existence for the solution of the elliptic Cauchy problem
Author:
ChungLing Yu
Journal:
Bull. Amer. Math. Soc. 80 (1974), 545548
MSC (1970):
Primary 30A92, 30A93, 30A82, 35A20, 33B30, 35G10, 35J60
MathSciNet review:
0338553
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References 
Similar Articles 
Additional Information
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 A. K. Aziz, R. P. Gilbert and H. C. Howard, A second order, nonlinear elliptic boundary value problem with generalized Goursat data, Ann. Mat. Pura Appl. (4) 72 (1966), 325341. MR 34 #4697. MR 204861
 2.
 D. Colton, Cauchy's problem for almost linear elliptic equations in two independent variables, J. Approximation Theory 3 (1970), 6671. MR 41 #3985. MR 259347
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 P. R. Garabedian, Partial differential equations, Wiley, New York, 1964. MR 28 #5247. MR 162045
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 J. Hadamard, Lectures on the Cauchy problem in linear partial differential equations, Yale Univ. Press, New Haven, Conn., 1923.
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 P. Henrici, A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficients, Z. Angew. Math. Phys. 8 (1957), 169203. MR 19, 38. MR 85427
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 L. E. Payne, Some remarks on improperly posed problems for partial differential equations, Lecture Notes in Math., vol. 316, SpringerVerlag, Berlin and New York, 1973, pp. 130. MR 410142
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 I. N. Vekua, New methods for solving elliptic equations, OGIZ, Moscow, 1948; English transl., Series in Appl. Math., vol. 1, NorthHolland, Amsterdam; Interscience, New York, 1967. MR 11, 598; 35 #3243. MR 34503
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 C. L. Yu, Reflection principle for systems of first order elliptic equations with analytic coefficients, Trans. Amer. Math. Soc. 164 (1972), 489501. MR 45 #2189. MR 293110
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 C. L. Yu, Cauchy problem and analytic continuation for systems of first order elliptic equations with analytic coefficients, Trans. Amer. Math. Soc. 185 (1973), 429443. MR 326162
 10.
 C. L. Yu, Cauchy problem for systems of first order analytic elliptic equations, SIAM J. Math. Anal. (to appear).
 11.
 C. L. Yu, Cauchy problem for a class of higher order analytic elliptic equations (to appear).
 12.
 C. L. Yu, On the global solvability of a linear elliptic Cauchy problem (to appear).
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Additional Information
DOI:
http://dx.doi.org/10.1090/S000299041974134907
PII:
S 00029904(1974)134907
