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Nonstandard Boundary Conditions
In this Chapter, we study three variants of the least gradient problem related to the shape of the domain. The first one concerns the case when we...
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Highly Accurate Method for Boundary Value Problems with Robin Boundary Conditions
The main aim of the current paper is to construct a numerical algorithm for the numerical solutions of second-order linear and nonlinear differential...
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The Null Boundary Controllability for a Fourth-Order Parabolic Equation with Samarskii–Ionkin-Type Boundary Conditions
This paper presents a moment method approach to solve the null boundary controllability problem for a fourth-order parabolic equation subject to...
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Effect of boundary conditions on shakedown analysis of heterogeneous materials
The determination of the ultimate load-bearing capacity of structures made of elastoplastic heterogeneous materials under varying loads is of great...
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Approximation of Differential Operators with Boundary Conditions
AbstractThe use of spectral methods for solution of boundary value problems is very effective but involves great technical difficulties associated...
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Asymptotic Analysis of Boundary-Value Problems for the Laplace Operator with Frequently Alternating Type of Boundary Conditions
This work, which can be considered as a small monograph, is devoted to the study of two-and three-dimensional boundary-value problems for eigenvalues...
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Plate Oscillations with Mixed Boundary Conditions
AbstractIn this paper problem with initial conditions for the equation of vibrations of a rectangular plate with mixed boundary conditions is...
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Reconstruction of Boundary Conditions of a Parabolic-Hyperbolic Transmission Problem
We consider a special kind of interface partial differential equations problems, which solution is defined in a few disjoint distant domains, where...
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Conditions of boundary layer separation for Boussinesq equations
In this paper, we analyze structural bifurcation of solutions to 2-D incompressible Boussinesq equations, where no-slip boundary condition for...
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On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions
AbstractWe consider the spectral problem for the Dirac operator with arbitrary two-point boundary conditions and any square integrable potential
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Stable Second Order Boundary Conditions for Kinetic Approximations
WeHélie, Romane introduceHelluy, Philippe a general framework for applying boundary conditions in the vectorial kinetic scheme of Bouchut [2, 4]. The...
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Estimates for General Boundary Conditions
In Chap. 2 , Lopatinskiı̆–Šapiro boundary conditions are introduced. Our goal is now to use...
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On Solvability of a Linear Parabolic Problem with Nonlocal Boundary Conditions
A linear parabolic equation with boundary conditions of the Bitsadze–Samarskii type is considered. An existence and uniqueness theorem for a...
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Operator Estimates for Problems in Domains with Singularly Curved Boundary: Dirichlet and Neumann Conditions
AbstractWe consider a system of second-order semilinear elliptic equations in a multidimensional domain with an arbitrarily curved boundary contained...
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Stability for coupled thermoelastic systems with nonlinear localized dam** and Wentzell boundary conditions
This paper is concerning with the study of stability involving a thermoelastic system with internal nonlinear localized dam**. The main novelty of...
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Procedure of Continuation of Boundary Conditions in the Problems of Elasticity Theory
To find solutions of two-dimensional problems of the theory of elasticity in domains bounded by two pairs of different coordinate lines, we propose...
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Parasitic Eigenvalues of Spectral Problems for the Laplacian with Third-Type Boundary Conditions
AbstractSpectral problems for the Laplacian with Robin and Steklov (third-type) boundary conditions on a smooth boundary of a plane domain are...
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Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions
This paper is dedicated to investigating the chaos of a initial-boundary value (IBV) problem of a multi-dimensional weakly hyperbolic equation...
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A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers
A rapidly converging domain decomposition algorithm is introduced for a time delayed parabolic problem with mixed type boundary conditions exhibiting...
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Boundary Control of Coupled Non-Constant Parameter Systems of Time Fractional PDEs with Different-Type Boundary Conditions
This paper addresses a boundary state feedback control problem for a coupled system of time fractional partial differential equations (PDEs) with...