Cover Image

Problem of Conjugation of Solutions of the Lame Wave Equation in Domains with Piecewise-Smooth Boundaries

We study the problem of conjugation of solutions of the Lame wave equation in domains containing singular lines (sets of angular points) and conic points. We show that solutions of the Lame wave equation have power-type singularities near nonsmoothnesses of boundary surfaces and determine their asym...

Full description

Saved in:

Bibliographic Details
Date:	2005
Main Authors:	Denysyuk, I. T., Денисюк, І. Т.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3572
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Eigenvalue Problems for Lamé's Differential Equation
by: Volkmer, H.
Published: (2018)

Perturbed Lamé equation and the Buslaev phase
by: Tajima, S., et al.
Published: (1998)

On the Hill Discriminant of Lamé's Differential Equation
by: Volkmer, Hans
Published: (2024)

On linearly convex domains with smooth boundaries
by: Mel’nik, V. L., et al.
Published: (1997)

Smoothness of generalized solutions of boundary problems of electrodynamics with general material equations
by: Kurbanov , I., et al.
Published: (1992)

Examples of $C^1$-smoothly conjugate diffeomorphisms of the circle with break that are not $C^{1+γ}$ -smoothly conjugate
by: Teplins’kyi, O. Yu., et al.
Published: (2010)

Smoothed Analysis for the Conjugate Gradient Algorithm
by: Menon, G., et al.
Published: (2016)

On the Behavior of Algebraic Polynomial in Unbounded Regions with Piecewise Dini-Smooth Boundary
by: F. G. Abdullayev, et al.
Published: (2014)

On the behavior of algebraic polynomial in unbounded regions with piecewise Dini-smooth boundary
by: Abdullayev, F.G., et al.
Published: (2014)

On the Behavior of Algebraic Polynomial in Unbounded Regions with Piecewise Dini-Smooth Boundary
by: Abdullayev, F. G., et al.
Published: (2014)

Smooth solution of one boundary-value problem
by: Khoma, N. H., et al.
Published: (1997)

On the smoothness of the generalized solution of a parabolic system in domains with conic points on the boundary
by: Nguyen Manh Hung, et al.
Published: (2004)

On the smoothness of the generalized solution of a parabolic system in domains with conic points on the boundary
by: Nguyen, Manh Hung, et al.
Published: (2004)

Strong Summability of Faber Series and Estimates for the Rate of Convergence of a Group of Deviations in a Closed Domain with Piecewise-Smooth Boundary
by: Lasuriya, R. A., et al.
Published: (2005)

On the smoothness of conjugation of circle diffeomorphisms with rigid rotations
by: Teplins’kyi, O. Yu., et al.
Published: (2008)

On the smoothness of conjugation of circle diffeomorphisms with rigid rotations
by: Borzdyko, V. I., et al.
Published: (2008)

Construction of the solutions of boundary-value problems for the laplace equation in domains of revolution with edged boundary
by: Barnyak, M. Ya., et al.
Published: (2009)

Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions
by: D. C. Dinh
Published: (2024)

Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions
by: Dinh, Doan Cong, et al.
Published: (2024)

Serial piecewise domains
by: Gubareni, Nadiya, et al.
Published: (2018)

Serial piecewise domains
by: Gubareni, N., et al.
Published: (2007)

On a smooth solution of a boundary-value problem
by: Tsynalko, P. V., et al.
Published: (1998)

Elliptic-parabolic equation and the corresponding problem with free boundary II: A smooth solution
by: S. P. Degtjarev
Published: (2014)

Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation
by: Tsvetkov, E. L., et al.
Published: (1993)

Topological conjugate piecewise linear unimodal mappings of an interval into itself
by: V. V. Kyrychenko, et al.
Published: (2016)

Topological conjugate piecewise linear unimodal mappings of an interval into itself
by: Kirichenko, V. V., et al.
Published: (2016)

On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary
by: Burskii, V. P., et al.
Published: (1993)

On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations
by: Gadjiev, T. S., et al.
Published: (2008)

Existence of a smooth solution of one boundary-value problem
by: Khoma, N. H., et al.
Published: (1995)

Averaging of the periodic by time boundary value problem for the nonlinear wave equation in a perforated domain
by: Sidenko, N.R.
Published: (1999)

Piecewise-smooth+ version of the implicit-function theorem
by: Miklyukov, V. M., et al.
Published: (2008)

The smooth dependence of the solution of the Neumann boundary-value &quot;cell&quot; problem on the par meters of a domain
by: L. A. Khilkova
Published: (2014)

Solutions of boundary value problems for Helmholtz equation in simply connected domains of complex plane
by: M. A. Sukhorolskyi
Published: (2015)

On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations
by: Gadjiev, T.S., et al.
Published: (2008)

On the continuity of harmonically conjugated functions in the Jordan domains
by: Pritsker, I. E., et al.
Published: (1992)

Boundary values of smooth solutions of Kolmogorov degenerate parabolic equations (p, h)
by: V. A. Litovchenko
Published: (2016)

On a smooth solution of a nonlinear periodic boundary-value problem
by: Dobrynskii, V. A., et al.
Published: (1999)

Investigation of smoothness conditions on the boundary for the strong linear convexity of a domain
by: Mel’nik, V. L., et al.
Published: (1999)

Analytic criterion for linear convexity of Hartogs domains with smooth boundary in $H^2$
by: Osipchuk, T. M., et al.
Published: (2011)

Spectral problems with boundary and conjugating conditions depending on a parameter
by: Komarov, G. N., et al.
Published: (1995)