Inverse problem for degenerate parabolic-hyperbolic equation with nonlocal boundary condition

DOI10.3103/S1066369X15010041zbMath1435.35419MaRDI QIDQ2516403

S. N. Sidorov, K. B. Sabitov

Publication date: 3 August 2015

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityexistenceuniquenessspectral methodmixed type equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (17)

Initial-boundary problem for a three-dimensional inhomogeneous equation of parabolic-hyperbolic type ⋮ Inverse problems for a mixed parabolic-hyperbolic equation with a degenerate parabolic part ⋮ 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 ⋮ Solvability of a Nonlocal Inverse Problem for a Fourth-Order Equation ⋮ Inverse problems for equations of a mixed parabolic-hyperbolic type with power degeneration in finding the right-hand parts that depend on time ⋮ Three-dimensional initial-boundary value problem for a parabolic-hyperbolic equation with a degenerate parabolic part ⋮ Inverse problems for the loaded parabolic-hyperbolic equation involves Riemann-Liouville operator ⋮ ON NUMERICAL SOLVING AN INVERSE PROBLEM FOR A MIXED PARABOLIC–HYPERBOLIC TYPE EQUATION OF FINDING THE RIGHT–HAND SIDE ⋮ Linear inverse problem for 3-dimensional Chaplygin equation with semi-nonlocal boundary conditions in a prismatic unbounded domain ⋮ Inverse problems for a three-dimensional equation of parabolic-hyperbolic type in finding time-dependent factors of the right-hand sides ⋮ Unnamed Item ⋮ Inverse problems for a degenerate mixed parabolic-hyperbolic equation on finding time-depending factors in right hand sides ⋮ On a linear inverse problem for a multidimensional mixed-type equation ⋮ A linear inverse problem for a multidimensional mixed-type second-order equation of the first-kind ⋮ An inverse problem for an equation of parabolic-hyperbolic type to find the factors of the right-hand side depending on the spatial coordinates ⋮ Асимптотические оценки разностей произведений функций Бесселя на интеграл от этих функций

Cites Work

• Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain
• Nonlocal problem for a parabolic-hyperbolic equation in a rectangular domain
• Initial-boundary value problem for a parabolic-hyperbolic equation with power-law degeneration on the type change line
• Tricomi problem for a mixed parabolic-hyperbolic equation in a rectangular domain
• Inverse problem for a parabolic-hyperbolic equation in a rectangular domain
• Initial-boundary value problem for an equation of mixed parabolic-hyperbolic type in a rectangular domain
• The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain
• On a nonlocal problem for a degenerating parabolic-hyperbolic equation
• The special functions and their approximations. Vol. I, II
• Definitions and examples of inverse and ill-posed problems
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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