THE INITIAL-BOUNDARY VALUE PROBLEM IN GENERAL RELATIVITY [PDF]
International Journal of Modern Physics D, 2011 In this article we summarize what is known about the initial-boundary value problem for general relativity and discuss present problems related to it.
Reula, Oscar, Sarbach, Olivier
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An initial–boundary value problem for the Maxwell equations
Journal of Differential Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Piwen, Yang, Shuo, Li, Manli
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Asymptotic estimations of the solution for a singularly perturbed equation with unbounded boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper studies a two-point boundary value problem with unbounded boundary conditions for a linear singularly perturbed differential equation. Asymptotic estimates are given for a linearly independent system of solutions of a homogeneous perturbed ...
N. Atakhan +2 more
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Initial-boundary Value Problem for a Time-fractional Subdiffusion Equation with an Arbitrary Elliptic Differential Operator [PDF]
Lobachevskii Journal of Mathematics, 2021 Ashurov R, Muhiddinova O.
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Solving the Periodic Boundary Value Problem with the Initial Value Problem Method
Journal of Mathematical Analysis and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Duhamel-type integral for the initial boundary value problem
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2021 The paper considers the initial boundary value problem for the wave equation for the case of three spatial variables. The definition of a generalized solution is introduced and the existence and uniqueness theorem is proved.
Anikonov Dmitry, Konovalova Dina
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An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems
International Journal of Applied Mechanics and Engineering, 2020 In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
P. Padmaja, P. Aparna, R.S.R. Gorla
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The Number of Boundary Conditions for Initial Boundary Value Problems
SIAM Journal on Numerical Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan Nordström, Thomas M. Hagstrom
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An initial boundary value problem for the Boussinesq equation in a Trapezoid [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper considers an initial boundary value problem for a one-dimensional Boussinesq-type equation in a domain, that is, a trapezoid. Using the methods of the theory of monotone operators, we establish theorems on their unique weak solvability in ...
M.T. Jenaliyev +3 more
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On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane
Boundary Value Problems, 2021 The definition of a Green’s function of a Cauchy–Dirichlet problem for the hyperbolic equation in a quarter plane is given. Its existence and uniqueness have been proven. Representation of the Green’s function is given.
Makhmud Sadybekov, Bauyrzhan Derbissaly
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