The existence for the solution of the elliptic Cauchy problem
Author:
Chung-Ling Yu
Journal:
Bull. Amer. Math. Soc. 80 (1974), 545-548
MSC (1970):
Primary 30A92, 30A93, 30A82, 35A20, 33B30, 35G10, 35J60
DOI:
https://doi.org/10.1090/S0002-9904-1974-13490-7
MathSciNet review:
0338553
Full-text PDF Free Access
References | Similar Articles | Additional Information
- 1. A. K. Aziz, R. P. Gilbert, and H. C. Howard, A second order, non-linear elliptic boundary value problem with generalized Goursat data, Ann. Mat. Pura Appl. (4) 72 (1966), 325–341. MR 204861, https://doi.org/10.1007/BF02414343
- 2. David Colton, Cauchy’s problem for almost linear elliptic equations in two independent variables, J. Approximation Theory 3 (1970), 66–71. MR 259347, https://doi.org/10.1016/0021-9045(70)90061-4
- 3. P. R. Garabedian, Partial differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0162045
- 4. J. Hadamard, Lectures on the Cauchy problem in linear partial differential equations, Yale Univ. Press, New Haven, Conn., 1923.
- 5. Peter Henrici, A survey of I. N. Vekua’s theory of elliptic partial differential equations with analytic coefficients, Z. Angew. Math. Phys. 8 (1957), 169–203. MR 85427, https://doi.org/10.1007/BF01600500
- 6. L. E. Payne, Some general remarks on improperly posed problems for partial differential equations, Symposium on Non-Well-Posed Problems and Logarithmic Convexity (Heriot-Watt Univ., Edinburgh, 1972) Springer, Berlin, 1973, pp. 1–30. Lecture Notes in Math., Vol. 316. MR 0410142
- 7. I. N. Vekua, Novye metody rešeniya èlliptičeskih uravneniĭ, OGIZ, Moscow-Leningrad,], 1948 (Russian). MR 0034503
- 8. Chung Ling Yu, Reflection principle for systems of first order elliptic equations with analytic coefficients, Trans. Amer. Math. Soc. 164 (1972), 489–501. MR 293110, https://doi.org/10.1090/S0002-9947-1972-0293110-0
- 9. Chung Ling Yu, Cauchy problem and analytic continuation for systems of first order elliptic equations with analytic coefficients, Trans. Amer. Math. Soc. 185 (1973), 429–443. MR 326162, https://doi.org/10.1090/S0002-9947-1973-0326162-0
- 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:
https://doi.org/10.1090/S0002-9904-1974-13490-7