Initial–Boundary Value Problem for a Three-Dimensional Equation of the Parabolic-Hyperbolic Type
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DOI: 10.1134/s0012266121080085
Abstract: We study an initial–boundary value problem for an equation of the mixed parabolic-hyperbolic type in a rectangular parallelepiped. A uniqueness criterion is established. The solution is constructed in the form of a series in an… read more here.
Keywords: initial boundary; value problem; boundary value; hyperbolic type ... See more keywords
On a Frankl-type problem for a mixed parabolic-hyperbolic equation
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DOI: 10.1134/s0037446617020057
Abstract: We state a new nonlocal boundary value problem for a mixed parabolic-hyperbolic equation. The equation is of the first kind, i.e., the curve on which the equation changes type is not a characteristic. The nonlocal… read more here.
Keywords: problem mixed; mixed parabolic; hyperbolic equation; equation ... See more keywords