Local solvability of constant coefficient partial differential equations as a small divisor problem
HTML articles powered by AMS MathViewer
- by Jiri Dadok and Michael Taylor PDF
- Proc. Amer. Math. Soc. 82 (1981), 58-60 Request permission
Abstract:
Local solvability of $P(D)u = f$ is reduced to a small divisor problem in Fourier series.References
- Leon Ehrenpreis, Solution of some problems of division. I. Division by a polynomial of derivation, Amer. J. Math. 76 (1954), 883–903. MR 68123, DOI 10.2307/2372662
- Lars Hörmander, Local and global properties of fundamental solutions, Math. Scand. 5 (1957), 27–39. MR 93636, DOI 10.7146/math.scand.a-10486
- Bernard Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier (Grenoble) 6 (1955/56), 271–355 (French). MR 86990
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 58-60
- MSC: Primary 35E20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0603601-9
- MathSciNet review: 603601