zbMATH — the first resource for mathematics

A partial solution of the Pompeiu problem. (English) Zbl 0329.35045

35N05 Overdetermined systems of PDEs with constant coefficients
35R30 Inverse problems for PDEs
35J25 Boundary value problems for second-order elliptic equations
Full Text: DOI EuDML
[1] Brown, L., Schreiber, B., Taylor, B. A.: Spectral synthesis and the Pompeiu problem. Ann. Inst. Fourier, Grenoble,23, 125-154 (1973) · Zbl 0265.46044
[2] Courant, R., Hilbert, D.: Methods of mathematical physics. Vol. I. New York: Interscience 1953 · Zbl 0051.28802
[3] Hörmander, L.: Linear partial differential operators. Berlin, Heidelberg, New York: Springer 1969 · Zbl 0175.39201
[4] Gunning, R., Rossi, H.: Analytic functions of several complex variables. Englewood Cliffs, N. J.: Prentice-Hall 1965 · Zbl 0141.08601
[5] Trèves, F.: Linear partial differential equations with constant coefficients. New York: Gordon and Breach 1966 · Zbl 0164.40602
[6] Dunford, N., Schwartz, J.: Linear operators. Vol. II. New York: Interscience 1963 · Zbl 0128.34803
[7] Morrey, C. B., Jr.: On the analyticity of the solutions of analytic non-linear elliptic systems of partial differential equations. Part I. Amer. J. of Math.80, 198-218 (1958) · Zbl 0081.09402 · doi:10.2307/2372830
[8] Spanier, E.: Algebraic topology. New York: McGraw-Hill 1966 · Zbl 0145.43303
[9] Courant, R., Hilbert, D.: Methods of mathematical physics. Vol. II. New York: Interscience 1962 · Zbl 0099.29504
[10] Serrin, J.: A symmetry problem in potential theory. Arch. Rat. Mech. Anal.43, 304-318 (1971) · Zbl 0222.31007 · doi:10.1007/BF00250468
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.