Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic‐Type Differential Operators
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DOI: 10.1002/mma.10829
Abstract: In this paper, we study the spectral properties of a class of differential operators of hyperbolic type with variable unbounded coefficients. We find conditions for the existence of a resolvent and maximum regularity of solutions.… read more here.
Keywords: hyperbolic type; estimates eigenvalues; separability estimates; class ... See more keywords
A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation
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DOI: 10.1016/j.apnum.2020.07.025
Abstract: Abstract This paper is mainly concerned with developing and establishing the reduced-order extrapolated format about the unknown coefficient vectors in numerical solutions to the finite element (FE) method for the hyperbolic type equation. To this… read more here.
Keywords: reduced order; hyperbolic type; order extrapolated; type equation ... See more keywords
Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations * * To the memory of A B Shabat and R I Yamilov.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abf3ea
Abstract: In the article differential-difference (semi-discrete) lattices of hyperbolic type are investigated from the integrability viewpoint. More precisely we concentrate on a method for constructing generalized symmetries. This kind integrable lattices admit two hierarchies of generalized… read more here.
Keywords: semi discrete; integrability; equation; hyperbolic type ... See more keywords
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
Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems
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DOI: 10.1134/s1560354720060088
Abstract: It is known that under Kolmogorov’s nondegeneracy condition, the nondegenerate hyperbolic invariant torus with Diophantine frequencies will persist under small perturbations, meaning that the perturbed system still has an invariant torus with prescribed frequencies. However,… read more here.
Keywords: prescribed frequencies; lower dimensional; hyperbolic type; type degenerate ... See more keywords
Unknown coefficient problem for mixed equation of parabolic-hyperbolic type with non-local boundary conditions on characteristics
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DOI: 10.13108/2024-16-2-81
Abstract: For an equation of a mixed parabolic-hyperbolic type with a characteristic line of type change, we study the inverse problem associated with the search for an unknown coefficient at the lowest term of the parabolic… read more here.
Keywords: equation; hyperbolic type; problem; parabolic hyperbolic ... See more keywords