On the spectral problem from the theory of the parabolic-hyperbolic heat equation
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Publication:1595528
zbMath0965.34070MaRDI QIDQ1595528
N. Yu. Kapustin, E. I. Moiseev
Publication date: 13 February 2001
Published in: Doklady Mathematics (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) PDEs of mixed type (35M10) Degenerate parabolic equations (35K65) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)
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Spectral properties of the equation of a vibrating rod at both ends of which the masses are concentrated ⋮ Basis properties in \({L}_{p}\) of root functions of Sturm-Liouville problem with spectral parameter-dependent boundary conditions ⋮ Inverse problem of finding a factor depending on the spatial variables on the right-hand side in a parabolic-hyperbolic equation ⋮ Initial-boundary-value problem for inhomogeneous degenerate equations of mixed parabolic-hyperbolic type ⋮ Tricomi problem for mixed parabolic-hyperbolic equation with higher order boundary condition ⋮ Three-dimensional initial-boundary value problem for a parabolic-hyperbolic equation with a degenerate parabolic part ⋮ Estimates of singular numbers (s$$ s $$‐numbers) and eigenvalues of a mixed elliptic‐hyperbolic type operator with parabolic degeneration ⋮ Unnamed Item ⋮ Inverse problems for a degenerate mixed parabolic-hyperbolic equation on finding time-depending factors in right hand sides ⋮ Unnamed Item ⋮ Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions ⋮ Eigenvalue problems for Sturm-Liouville equations with transmission conditions ⋮ An inverse problem for an equation of parabolic-hyperbolic type to find the factors of the right-hand side depending on the spatial coordinates
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