A MIXED EQUATION OF TRICOMI–KELDYSH TYPE
2012 ◽
Vol 09
(03)
◽
pp. 545-553
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Keyword(s):
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.
2017 ◽
Vol 19
(4)
◽
pp. 12-22
2017 ◽
Vol 41
(4)
◽
pp. 157-164
Keyword(s):
2020 ◽
pp. 671-686
Keyword(s):