scholarly journals Inhomogeneous Boundary Value Problems in Spaces of Higher Regularity

2016 ◽  
pp. 157-173 ◽  
Author(s):  
Robert Denk ◽  
Tim Seger
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Higher Regularity

A MIXED EQUATION OF TRICOMI–KELDYSH TYPE

2012 ◽  
Vol 09 (03) ◽  
pp. 545-553 ◽  
Author(s):  
SHUXING CHEN
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Mixed Type ◽  
Boundary Value ◽  
Type Equation ◽  
Mixed Type Equation ◽  
Hyperbolic Region ◽  
Tricomi Equation ◽  
Mixed Equation ◽  
Higher Regularity

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.

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