Almost Mizohata operators

Hanges, Nicholas

doi:10.1090/S0002-9947-1986-0816318-1

Almost Mizohata operators
HTML articles powered by AMS MathViewer

by Nicholas Hanges

Trans. Amer. Math. Soc. 293 (1986), 663-675

DOI: https://doi.org/10.1090/S0002-9947-1986-0816318-1

PDF | Request permission

Abstract:

The range of every almost Mizohata operator is characterized via an integral formula.

References

M. S. Baouendi and F. Trèves, A local constancy principle for the solutions of certain overdetermined systems of first-order linear partial differential equations, Mathematical analysis and applications, Part A, Adv. in Math. Suppl. Stud., vol. 7, Academic Press, New York-London, 1981, pp. 245–262. MR 634241
M. S. Baouendi, C. H. Chang, and F. Trèves, Microlocal hypo-analyticity and extension of CR functions, J. Differential Geom. 18 (1983), no. 3, 331–391. MR 723811
R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
P. C. Greiner, J. J. Kohn, and E. M. Stein, Necessary and sufficient conditions for solvability of the Lewy equation, Proc. Nat. Acad. Sci. U.S.A. 72 (1975), no. 9, 3287–3289. MR 380142, DOI 10.1073/pnas.72.9.3287
Nicholas Hanges and François Trèves, Propagation of holomorphic extendability of CR functions, Math. Ann. 263 (1983), no. 2, 157–177. MR 698000, DOI 10.1007/BF01456878
Louis Nirenberg, Lectures on linear partial differential equations, Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 17, American Mathematical Society, Providence, R.I., 1973. Expository Lectures from the CBMS Regional Conference held at the Texas Technological University, Lubbock, Tex., May 22–26, 1972. MR 0450755
J. Sjöstrand, Note on a paper of F. Trèves concerning Mizohata type operators, Duke Math. J. 47 (1980), no. 3, 601–608. MR 587167
François Trèves, Remarks about certain first-order linear PDE in two variables, Comm. Partial Differential Equations 5 (1980), no. 4, 381–425. MR 567779, DOI 10.1080/0360530800882143
François Trèves, On the local solvability and the local integrability of systems of vector fields, Acta Math. 151 (1983), no. 1-2, 1–38. MR 716369, DOI 10.1007/BF02393203

Mizohata structures