Abstract
The given non-homogeneous polyanalytic differential equation is transformed into an equivalent system of integro–differential equations before its general solution in the weighted Sobolev space W n,p (D; d μ(z, ∂D)) is sought using functional analytic tools. The boundary value problem is then solved by first transforming it to two analogous problems for polyanalytic functions. The latter was already solved by the author in a separate study.
Acknowledgements
This work was carried out during the author's visit to the Abdus Salam International Centre for Theoretical Physics in Trieste, Italy, in his capacity as Senior Associate. The author expresses herewith his sincere thanks to the Centre and SIDA which supports the Associate programme.
Notes
On the occasion of the 65th birthday of my teacher, Prof. Heinrich Begehr.
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Email: [email protected]; [email protected]