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.
Poisson equation beyond its natural domain of definition / D'Onofrio, Luigi; Greco, Luigi; Iwaniec, Tadeusz; Schiattarella, Roberta. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1720-0768. - 29:IV(2018), pp. 579-587. [10.4171/RLM/821]
Poisson equation beyond its natural domain of definition.
Luigi Greco;Roberta Schiattarella
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.File in questo prodotto:
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