Data di Pubblicazione:
2007
Citazione:
On closed boundary value problems for equations of mixed elliptic-hyperbolic type / D. Lupo, C.S. Morawetz, K.R. Payne. - In: COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. - ISSN 0010-3640. - 60:9(2007), pp. 1319-1348.
Abstract:
For partial differential equations of mixed elliptic-hyperbolic type we prove results on existence and existence with uniqueness
of weak solutions for closed boundary value problems of Dirichlet and mixed Dirichlet-conormal types. These problems are
of interest for applications to transonic flow and are over-determined for solutions with classical regularity. The
method employed consists in variants of the a-b-c integral method of Friedrichs in Sobolev spaces with suitable weights. Particular attention is paid to the problem of attaining results with a minimum of restrictions on the boundary geometry
and the form of the type change function. In addition, interior regularity results are also given in the important special case of
the Tricomi equation.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
existence ; uniqueness ; weak solution ; mixed type equation ; Dirichlet problem
Elenco autori:
D. Lupo, C.S. Morawetz, K.R. Payne
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