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The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations
AxiomsIn this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
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Cauchy problem for a linear hyperbolic equation of the second order
Mathematical Modelling and Analysis, 2006 The definition of hyperbolic equation by a prescribed vector field is introduced for linear differential equation of the second order. The Cauchy problem with prescribed boundary conditions is considered for such equations.
V. I. Korzyuk, E.S. Cheb
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The second initial-boundary value problem with integral displacement for second-order hyperbolic and parabolic equations [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 In this paper, we study the solvability of some non-local analogs of the second initial-boundary value problem for multidimensional hyperbolic and parabolic equations of the second order.
Alexander I. Kozhanov +1 more
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On the hyperbolic type differential equation with time involution [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In the present paper, the initial value problem for the hyperbolic type involutory in t second order linear partial differential equation is studied.
A. Ashyralyev +2 more
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Demonstratio Mathematica, 2023 In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong +4 more
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Известия Иркутского государственного университета: Серия "Математика", 2021 The article considers second-order system of linear stochastic partial differential equations of hyperbolic type with Goursat boundary conditions. Earlier, in a number of papers, representations of the solution Goursat problem for linear stochastic ...
K.B. Mansimov, R.O. Mastaliyev
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Hyperbolicity of second order in space systems of evolution equations [PDF]
Classical and Quantum Gravity, 2006 A possible definition of strong/symmetric hyperbolicity for a second-order system of evolution equations is that it admits a reduction to first order which is strongly/symmetric hyperbolic. We investigate the general system that admits a reduction to first order and give necessary and sufficient criteria for strong/symmetric hyperbolicity of the ...
Gundlach, Carsten +1 more
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On one solution of a periodic boundary value problem for a hyperbolic equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In a rectangular domain, we consider a boundary value problem periodic in one variable for a system of partial differential equations of hyperbolic type. Introducing a new unknown function, this problem is reduced to an equivalent boundary value problem
T.D. Tokmagambetova, N.T. Orumbayeva
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Strongly hyperbolic second order Einstein’s evolution equations [PDF]
Physical Review D, 2004 LaTeX, 16 pages, uses revtex4. Referee corections and new appendix added.
Nagy, Gabriel +2 more
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Mathematical Modelling and Analysis, 2017 In this study, a reduced-order extrapolation spectral-finite difference (ROESFD) scheme based on the proper orthogonal decomposition (POD) method is set up for the two-dimensional (2D) second-order hyperbolic equations.
Zhendong Luo, Shiju Jin
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