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Boundary Value Problems for Mixed Type Equations and Applications (1106.4000v1)
Published 20 Jun 2011 in math.AP and math.DG
Abstract: In this paper we outline a general method for finding well-posed boundary value problems for linear equations of mixed elliptic and hyperbolic type, which extends previous techniques of Berezanskii, Didenko, and Friedrichs. This method is then used to study a particular class of fully nonlinear mixed type equations which arise in applications to differential geometry.
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