Weak well posedness of the Dirichlet problem for equations of mixed ellptic-hyperbolic type

Equations of mixed elliptic-hyperbolic type with a homogeneous Dirichlet condition imposed on the entire boundary will be discussed. Such closed problems are typically overdetermined in spaces of classical solutions in contrast to the well-posedness for classical solutions that can result from openi...

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Bibliographic Details
Main Author: Kevin R. Payne
Format: Article
Language:English
Published: Università degli Studi di Catania 2005-11-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/154