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Bitsadze-Samarskii Type Problem for the Diffusion Equation and Degenerate Hyperbolic Equation
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiA boundary value problem of the Bitsadze-Samarskii type is studied in the article for a fractionalorder diffusion equation and a degenerate hyperbolic equation with singular coefficients at lower terms in an unbounded domain.
Ruziev, M.Kh. +3 more
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Decay of solutions of a degenerate hyperbolic equation
Electronic Journal of Differential Equations, 1998 This article studies the asymptotic behavior of solutions to the damped, non-linear wave equation $$ ddot u +gamma dot u -m(|abla u|^2)Delta u = f(x,t),, $$ which is known as degenerate if the greatest lower bound for $m$ is zero, and non-degenerate if ...
Julio G. Dix
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Inner boundary value problem with displacement for a second order mixed parabolic-hyperbolic equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper investigates inner boundary value problems with a shift for a second-order mixed-hyperbolic equation consisting of a wave operator in one part of the domain and a degenerate hyperbolic operator of the first kind in the other part.
Zh.A. Balkizov +2 more
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Bilinear Control of a Degenerate Hyperbolic Equation
SIAM Journal on Mathematical Analysis, 2023 We consider the linear degenerate wave equation, on the interval $(0, 1)$ $$ w_{tt} - (x^ w_x)_x = p(t) (x) w, $$ with bilinear control $p$ and Neumann boundary conditions. We study the controllability of this nonlinear control system, locally around a constant reference trajectory, the ground state.
Piermarco Cannarsa +2 more
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The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
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Advances in Nonlinear Analysis, 2022 This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
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Nonlocal problems for hyperbolic equations with degenerate integral conditions
Electronic Journal of Differential Equations, 2016 In this article, we consider a problem for hyperbolic equation with standard initial data and nonlocal condition. A distinct feature of this problem is that the nonlocal second kind integral condition degenerates and turns into a first kind.
Ludmila S. Pulkina
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Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing [PDF]
Journal of Functional Analysis, 2021 47 ...
Chen, G-QG, Pang, PHC
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BOUNDARY CONTROL PROBLEM FOR ONE DEGENERATE HIBERBOLIC EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 The paper studies the boundary control problem for a degenerate second-order hyperbolic equation. Necessary and sufficient conditions are established for minimal time controllability over Cauchy data.
Attaev A. Kh.
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Journal of Optimization, Differential Equations and Their Applications, 2021 In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain.
Peter I. Kogut +2 more
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