An unsolvable equation
Author:
P. R. Garabedian
Journal:
Proc. Amer. Math. Soc. 25 (1970), 207-208
MSC:
Primary 35.01
DOI:
https://doi.org/10.1090/S0002-9939-1970-0252809-6
MathSciNet review:
0252809
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A linear partial differential equation that is not solvable is obtained by a very simple transformation of the Cauchy-Riemann equations.
- Hans Lewy, An example of a smooth linear partial differential equation without solution, Ann. of Math. (2) 66 (1957), 155–158. MR 88629, DOI https://doi.org/10.2307/1970121
- L. Nirenberg and F. Treves, Solvability of a first order linear partial differential equation, Comm. Pure Appl. Math. 16 (1963), 331–351. MR 163045, DOI https://doi.org/10.1002/cpa.3160160308
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35.01
Retrieve articles in all journals with MSC: 35.01
Additional Information
Keywords:
Unsolvable equation,
odd part,
complex variable,
Schwarz principle of reflection
Article copyright:
© Copyright 1970
American Mathematical Society