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WEIGHTED ESTIMATES ON FRACTAL DOMAINS

Published online by Cambridge University Press:  03 February 2015

Raffaela Capitanelli
Affiliation:
Dipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza Università di Roma”, Via A. Scarpa 16, 00161 Roma, Italy email [email protected]
Maria Agostina Vivaldi
Affiliation:
Dipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza Università di Roma”, Via A. Scarpa 16, 00161 Roma, Italy email [email protected]
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Abstract

The aim of the paper is to establish estimates in weighted Sobolev spaces for the solutions of the Dirichlet problems on snowflake domains, as well as uniform estimates for the solutions of the Dirichlet problems on pre-fractal approximating domains.

Type
Research Article
Copyright
Copyright © University College London 2015 

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