Affiliation:
1. Institute of Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China
Abstract
We study a mixed type equation, which is analogous, in parts, to Tricomi equation and Keldysh equation. For this equation, the characteristics in the hyperbolic region are transversal to the transition locus in a subset of the locus, but is tangential to it in another subset. We propose a formulation of a closed boundary value problem for such a mixed type equation, and prove that it admits a unique H1 solution with some higher regularity inside the domain. Our result shows the variety and the complexity of the boundary value problems for mixed-type equations.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Mathematics,Analysis
Cited by
17 articles.
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