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Hörmander, Lars

On the regularity of the solutions of boundary problems. (English) Zbl 0083.09201

Acta. Math. 99, 225-264 (1958).
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Cited in 33 Documents

Keywords:

partial differential equations
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References:

[1] F. Browder, On the regularity properties of solutions of elliptic differential equations.Comm. Pure Appl. Math., 9 (1956), 351–361. · Zbl 0070.09601 · doi:10.1002/cpa.3160090307
[2] L. Gårding, Linear hyperbolic partial differential equations with constant coefficients.Acta Math., 85 (1954), 1–62. · Zbl 0045.20202 · doi:10.1007/BF02395740
[3] E. Goursat,Cours d’Analyse Mathématique. 5e édition, Paris 1929.
[4] O. V. Gusev, On boundary problems for strongly elliptic systems.Doklady Akad. Nauk SSSR (N.S.), 102 (1955), 1069–1072 (Russian).
[5] L. Hörmander, On the theory of general partial differential operators.Acta Math., 94 (1955), 161–248. · Zbl 0067.32201 · doi:10.1007/BF02392492
[6] L. Hörmander, On the interior regularity of the solutions of partial differential equations. To appear inComm. Pure Appl. Math., 11 (1958).
[7] F. John, Prolongement et réflection des solutions des équations aux dérivées partielles. Colloques internationaux du C.N.R.S. LXXI (Nancy, 9–15 avril 1956, La théorie des équations aux dérivées partielles). Paris 1956. 103–109.
[8] Ya. B. Lopatinski, Reducing boundary problems for differential equations of elliptic type to regular integral equations.Ukrain. Mat. Z., 5 (1953), 123–151 (Russian).
[9] B. Malgrange, Sur une classe d’opérateurs différentiels hypoelliptiques. To appear inBull. Soc. Math. France, 85 (1957), fasc. 3. · Zbl 0082.09303
[10] C. B. Morrey, Jr. &L. Nirenberg, On the analyticity of the solutions of linear elliptic systems of partial differential equations.Comm. Pure Appl. Math., 10 (1957), 271–290. · Zbl 0082.09402 · doi:10.1002/cpa.3160100204
[11] L. Nirenberg, Remarks on strongly elliptic partial differential equations.Comm. Pure Appl. Math., 8 (1955), 648–674. · Zbl 0067.07602 · doi:10.1002/cpa.3160080414
[12] N. E. Nörlund,Differenzenrechnung. Berlin 1924.
[13] I. G. Petrowsky, Sur l’analyticité des solutions des systèmes d’équations différentielles.Mat. Sbornik, 5 [47] (1939), 3–70 (French; Russian summary). · JFM 65.0405.02
[14] A. Seidenberg, A new decision method for elementary algebra.Ann. of Math., (2) 60 (1954), 365–374. · Zbl 0056.01804 · doi:10.2307/1969640
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