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Details van artikel 79 van 164 gevonden artikelen
| Titel: |
Linear partial differential operators with holomorphic coefficients |
| Auteur: |
Witte, Jorg |
| Verschenen in: |
Complex variables and elliptic equations |
| Paginering: | Jaargang 26 (1994) nr. 1-2 pagina's 133-144 |
| Jaar: |
1994-11 |
| Inhoud: |
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. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 79 van 164 gevonden artikelen
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