Uniqueness for the characteristic Cauchy problem and analytic regularity for partial differential equations with polynomial coefficients in the presence of growth type conditions
Analytic solutions of partial differential equations - Trento, 1981, Astérisque, no. 89-90 (1981), pp. 163-201.
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author = {Liess, O.},
title = {Uniqueness for the characteristic {Cauchy} problem and analytic regularity for partial differential equations with polynomial coefficients in the presence of growth type conditions},
booktitle = {Analytic solutions of partial differential equations - Trento, 1981},
author = {Collectif},
series = {Ast\'erisque},
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year = {1981},
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%B Analytic solutions of partial differential equations - Trento, 1981
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Liess, O. Uniqueness for the characteristic Cauchy problem and analytic regularity for partial differential equations with polynomial coefficients in the presence of growth type conditions, in Analytic solutions of partial differential equations - Trento, 1981, Astérisque, no. 89-90 (1981), pp. 163-201. http://archive.numdam.org/item/AST_1981__89-90__163_0/

J. E. Björk : [1] Rings of differential operators, North-Holland Publishing Comp. Amsterdam-Oxford-New York. | MR | Zbl

S.D. Eidel'Man : [1] Parabolic systems, North-Holland Publ. Comp. Amsterdam-London Wolters-Noordhoff Publ. Groningen, (translated from the Russian). | MR | Zbl

I. M. Gel'Fand and G. E. Shilov : [1] Fourier transforms of rapidly increasing functions and problems of uniqueness for solutions of the Cauchy problem (in Russian), U.M.N. 8 : 6 (1953), 3-54. | MR | Zbl

I. M. Gel'Fand : [2] Generalized functions vol. 2 and 3, Fizmatgiz. Moscow (1958). | Zbl

V. V. Grushin : [1] On the relation between the local and global properties of solutions of hypoelliptic equations with constant coefficients Mat. Sb. 66 (108) : 4 (1965), 525-550. | MR | Zbl

L. Hörmander : [1] An introduction to complex analysis in several complex variables, D. Van Nostrand Comp., New-York 1966. | MR | Zbl

L. Hörmander : [2] On the existence and regularity of solutions of linear pseudodiff. operators, L'enseignement math. XVII : 2, 99-163. | MR | Zbl

L. Hörmander : [3] Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients, C.P.A.M. XXIV (1971), 671-704. | MR | Zbl

L. Hörmander : [4] Non-uniqueness for the Cauchy problem, Colloque Int. Nice 1974 Fourier integral operators and partial differential equations, Springer Verlag, Lecture Notes 459 (1975), 36-73. | DOI | MR | Zbl

M. Kashiwara : [1] Thesis, Univ. of Tokyo, 1971 (in Japanese).

R. Lascar : [1] Propagation des singularités des solutions d'équations pseudodifferentielles quasi-homogènes, Ann. Inst. Fourier t XXVII : 2 (1977), 79-125. | DOI | EuDML | MR | Zbl

O. Liess : [1] Intersection properties of weakly analytic uniform classes of functions, Ark. Mat. 14 : 1 (1976), 93-111. | DOI | MR | Zbl

O. Liess : [2] Necessary and suffcient conditions for propagation of singularities for const. coeff. lin. partial differential operators, Preprint 526 (January 1980), Darmstadt. | Zbl

I. A. Luckij : [1] Double pseudodifferential operators in spaces of generalized functions that increase exponentially, D.A.N. 235 : 3 (1977), 527-530. | MR | Zbl

J. Persson : [1] Linear characteristic Cauchy problems for partial differential equations with variable not only time dependent coefficients, Boll. Un. Mat. Ital. IV Ser 4 (1971), 91-102. | MR | Zbl

W. Rudin : [1] Lectures on the edge-of-the-wedge-theorem, Conf. board math. sc., Regional conf. series in math. nr. 6 A.M.S. Providence Rhode Island. | MR | Zbl

M. Sato : [1] Hyperfunctions and partial differential equations, Conf. on functional analysis and related topics, Tokyo 1969, 91-94. | Zbl