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Mutiple layer potentials and the Dirichlet problem for higher order elliptic equations in the plane. I. (English) Zbl 0081.09801


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[1] Browder, Proc. Nat. Acad. Sci. U.S.A. 38 pp 230– (1952)
[2] Proc. Nat. Acad. Sci. U.S.A. 38 pp 741– (1952)
[3] Proc. Nat. Acad. Sci. U.S.A. 39 pp 179– (1953)
[4] d Strongly elliptic systems of differential equations, Contributions to the Theory of Partial Differential Equations, Ann. Math. Studies No. 33, Princeton, 1954, pp. 15–51.
[5] Douglis, Comm. Pure Appl. Math. 8 pp 503– (1955)
[6] Friedrichs, Comm. Pure Appl. Math. 6 pp 299– (1953)
[7] Gårding, Math. Scandinavica 1 pp 55– (1953) · Zbl 0053.39101 · doi:10.7146/math.scand.a-10364
[8] Herglotz, Abh. Math. Sem. Univ. Hamburg 6 pp 189– (1928)
[9] Plane Waves and Spherical Means Applied to Partial Differential Equations, Interscience tract in pure and appl. math. No. 2, 1955, New York.
[10] Lax, Comm. Pure Appl. Math. 8 pp 615– (1955)
[11] Lions, Acta Math. 94 pp 13– (1955)
[12] On a method of reducing boundary problems for a system of differential equations of elliptic type to regular equations, Ukrain. Mat. Ž. 5, 1953, pp. 123–151.
[13] Second order elliptic systems of differential equations, Contributions to the Theory of Partial Differential Equations, Ann. Math. Studies No. 33, Princeton, 1954, pp. 101–159.
[14] Singular Integral Equations, P. Noordhoff N.V., Groningen, Holland, 1953.
[15] Nirenberg, Comm. Pure Appl. Math. 8 pp 649– (1955)
[16] On Green’s functions for elastic plates with clamped, supported and free edges, Proceedings of the Symposium on Spectral Theory and Differential Problems, pp. 413–437. Oklahoma Agricultural and Mechanical College, Stilwater, Okla., 1951.
[17] Somigliana, Annali di Matematica pura ed applicata, Ser. 2 22 pp 143– (1894)
[18] Vishik, Mat. Sbornik 25 pp 189– (1949)
[19] Mat. Sbornik 29 pp 617– (1951)
[20] Whitney, Trans. Amer. Math. Soc. 36 pp 63– (1934)
[21] Whitney, Ann. Math. 35 pp 482– (1934)
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