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Details for article 79 of 164 found articles
| Title: |
Linear partial differential operators with holomorphic coefficients |
| Author: |
Witte, Jorg |
| Appeared in: |
Complex variables and elliptic equations |
| Paging: | Volume 26 (1994) nr. 1-2 pages 133-144 |
| Year: |
1994-11 |
| Contents: |
This paper deals with a generalization of the Pompeiu formula for partial differential equation with higher order in the complex plane. In the centre of the investigation lies the construction of a fundamental solution. The problem of constructing such a fundamental solution can be reduced to a special initial value problem for ordinary differential equation. With the help of the fundamental solution an integral representation for functions being smooth enough can be found. Further investigations of this integral formula under function theoretic view points lead to a conclusion for ordinary differential equation, namely every solution can be obtained by a solution of the special initial value problem, mentioned above This result can be used to prove an algebraic statement about the zeroes of a polynomial. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 79 of 164 found articles
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