Results 11 to 20 of about 26,746 (306)
Inverse spectral problem for Dirac operators by spectral data
Filomat, 2017 This work deals with the solution of the inverse problem by spectral data for Dirac operators with piecewise continuous coefficient and spectral parameter contained in boundary condition. The main theorem on necessary and sufficient conditions for the solvability of inverse problem is proved. The algorithm of the reconstruction of potential
Akcay, Ozge, Mamedov, Khanlar R.
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The inverse spectral problem [PDF]
Surveys in Differential Geometry, 2004 The inverse spectral problem on a Riemannian manifold (M, g), possibly with boundary, is to determine as much as possible of the geometry of (M, g) from the spectrum of its Laplacian ∆g (with some given boundary conditions).
Steve Zelditch
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An inverse spectral problem for Sturm-Liouvile operator with integral delay
Electronic Journal of Differential Equations, 2017 In this article, we study an inverse spectral problem for Sturm-Liouville operator with integral delay. We prove that the standard spectral asymptotic conditions are necessary and sufficient for unique solvability of the inverse problem.
Manaf Dzh. Manafov
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Inverse spectral problem for Jacobi operators and Miura transformation
Concrete Operators, 2021 We study a Miura-type transformation between Kac - van Moerbeke (Volterra) and Toda lattices in terms of the inverse spectral problem for Jacobi operators, which appear in the Lax representation for such systems.
Osipov Andrey
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Nonlocal Inverse Problem for a Pseudohyperbolic- Pseudoelliptic Type Integro-Differential Equations
Axioms, 2020 The questions of solvability of a nonlocal inverse boundary value problem for a mixed pseudohyperbolic-pseudoelliptic integro-differential equation with spectral parameters are considered.
Tursun K. Yuldashev
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Inverse Spectral Problems in Rectangular Domains [PDF]
Communications in Partial Differential Equations, 2007 We consider the Schrodinger operator in n-dimensional rectangular domains with either Dirichlet or Neumann boundary conditions on the faces and study the constraints on the potential imposed by fixing the spectrum of the operator.We study also the asymptotics of the heat kernel when t tends to 0.
Eskin, Gregory, Ralston, James
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Solvability and Stability of the Inverse Problem for the Quadratic Differential Pencil
Mathematics, 2021 The inverse spectral problem for the second-order differential pencil with quadratic dependence on the spectral parameter is studied. We obtain sufficient conditions for the global solvability of the inverse problem, prove its local solvability and ...
Natalia P. Bondarenko, Andrey V. Gaidel
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Mathematics, 2022 In this work, a novel integrable evolution system in the sense of Lax’s scheme associated with a mixed spectral Ablowitz-Kaup-Newell-Segur (AKNS) matrix problem is first derived.
Sheng Zhang, Jiao Gao, Bo Xu
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Boundary Value Problems, 2018 Inverse nodal problems for Sturm–Liouville equations associated with boundary conditions polynomially dependent on the spectral parameter are studied. The authors show that a twin-dense subset WB([a,b]) $W_{B}([a,b])$ can uniquely determine the operator ...
Yu Ping Wang +2 more
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Approximation of Bayesian inverse problems for PDEs [PDF]
, 2010 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh +7 more
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