On the ”fundamental principle” of L. Ehrenpreis. (English) Zbl 0555.35009

Hansen, Sönke

Partial differential equations, Banach Cent. Publ. 10, 185-201 (1983).

[For the entire collection see Zbl 0536.00005.]
The author gives a detailed proof of the integral representation theorem, known as ”fundamental principle”, for solutions of a single linear partial differential equation with constant coefficients.

Reviewer: W.Watzlawek

MSC:

35E20	General theory of PDEs and systems of PDEs with constant coefficients
35C15	Integral representations of solutions to PDEs

Keywords:

integral representation; fundamental principle; constant coefficients