References
M. S. Baouendi,Microlocalisation hypo-analytique et extension holomorphe de fonctions C.R., Seminaire Goulaouic-Mayer-Schwartz # XXIII, 181–1982.
L. Boutet de Monvel and V. Guillemin,The Spectral Theory of Toeplitz Operators, Princeton University Press, Princeton, N. J., 1981.
P. G. Greiner, J. J. Kohn and E. Stein,Necessary and sufficient conditions for solvability of the Lewy Equation, Proc. Nat. Acad. Sci.72 (1975), 3287–3289.
L. Hörmander,An Introduction to Complex Analysis in Several Variables, D. Van Nostrand Company Inc., New York, 1966.
L. Hörmander,Spectral Analysis of Singularities of Solution of Linear PDE, L. Hormander (ed.), Princeton University Press, Princeton, N.J., 1979, pp. 3–50.
V. O. Palamodov,Linear Differential Operators with Constant Coefficients, Springer-Verlag, New York, Heidelberg, Berlin, 1970.
M. Sato,Regularity of hyperfunction solutions of partial differential equations, Actes Congr. Int. Math. Nice2 (1970), 785–794.
M. Sato, T. Kawai and M. Kashivara,Microfunctions and pseudo-differential equations, Lecture Notes in Math.,287, 1973, pp. 265–529.
M. Sato, T. Kawai and M. Kashivara,On the structure of a single linear pseudo-differential equation, Proc. Jpn. Acad.48 (1972), 643–646.
J. Sjöstrand,Analytic singularities of solutions of boundary value problems, NATO Adv. Study Inst. on Singularities in Boundary Value Problems, Reidel Publ. Co., Dordrecht, 1981, pp. 235–269.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kiro, S. Necessary and sufficient conditions for local solvability of nonsolvable partial differential equations. J. Anal. Math. 43, 149–160 (1983). https://doi.org/10.1007/BF02790181
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02790181