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Poisson equation beyond its natural domain of definition

Authors :
Roberta Schiattarella
Luigi D'Onofrio
Tadeusz Iwaniec
Luigi Greco
D'Onofrio, Luigi
Greco, Luigi
Iwaniec, Tadeusz
Schiattarella, Roberta
Publication Year :
2018

Abstract

This note is concerned with the Poisson equation in the unit disk of the complex plane. Our setting is in the Sobolev space W1;Þ with exponent 1 < p < infty. Such a setting with p eq2 is referred to as beyond the natural domain of definition. The novelty lies in the use of a singular integral called Beurling Transform.

Subjects

Subjects :
Domain of a function
symbols.namesake
Pure mathematics
General Mathematics
symbols
Natural (music)
Riemann–Hilbert problem
Poisson's equation
Laplace and Poisson equation, PDEs in the complex plane, Beurling transform, Riemann–Hilbert problem
Mathematics

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....e2cbf430e3f639d7a1bfb005561395b4

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Authors Abstract Subjects Details