Boundary Value Problems for Mixed Type Equations and Applications

Details Boundary Value Problems for Mixed Type Equations and Applications Boundary Value Problems for Mixed Type Equations and Applications

2011-06-20

arxiv.org/abs/1106.4000v1

Mathematics

Analysis of PDEs

Nonlinear Anal., to appear

Scientific paper

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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