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Existence of Solutions for the Laplacian Equation with Exponential Neumann Boundary Condition
In this paper, we consider the Laplacian equation with exponential Neumann boundary condition on a compact Riemann surface Σ with nonempty boundary ∂ Σ...
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The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane
We consider the initial-boundary value problem of the nonlinear Schrödinger equation on the half plane with a nonlinear Neumann boundary condition....
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Boundary controllability for a 1D degenerate parabolic equation with drift, a singular potential, and a Neumann boundary condition
We prove the null controllability of a one-dimensional degenerate parabolic equation with drift and a singular potential. Here, we consider a...
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On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition
The objective of this article is to investigate the existence of a weak solution to a class of nonlocal-type problem with Neumann boundary condition,...
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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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Homogenization of the Neumann boundary value problem: polygonal domains
In this paper, we study the convergence rates for homogenization problems for solutions of partial differential equations with rapidly oscillating...
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Mean curvature flow of graphs in generalized Robertson–Walker spacetimes with perpendicular Neumann boundary condition
We prove the longtime existence for the mean curvature flow problem with a perpendicular Neumann boundary condition in a generalized Robertson–Walker...
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Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation
This paper analyzes the discretization of a Neumann boundary control problem with a stochastic parabolic equation, where an additive noise occurs in...
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Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions
We prove some multiplicity results for Neumann-type boundary value problems associated with a Hamiltonian system. Such a system can be seen as the...
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Asymptotic analysis of Sturm–Liouville problem with Neumann and nonlocal two-point boundary conditions
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical...
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Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile
We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary. We construct the unique...
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Nontrivial solution for an anisotropic variable exponent problem with Neumann boundary condition
By using variational methods and critical point theory, we establish the existence of one nontrivial solution for a Neumann problem. We prove the...
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About Heat Wave in a Semi-Infinite Rod with a Boundary Condition Periodically Changing in Time
An exact analytical solution to the problem of a periodic heat wave in a semi-infinite rod with a time-varying boundary condition at its end has been...
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Operator Estimates for Planar Domains with Irregularly Curved Boundary. The Dirichlet and Neumann Conditions
We consider a general nonselfadjoint second order scalar operator in a planar domain such that one of the boundary components is obtained by an...
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Navier–Stokes Equations with Regularized Directional Boundary Condition
We consider the steady Navier–Stokes equations in a bounded domain...
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A diffusive plankton system with time delay and habitat complexity effects under Neumann boundary condition
In this paper, we establish a delayed semilinear plankton system with habitat complexity effect and Neumann boundary condition. Firstly, by using the...
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Virtual element method for elliptic Neumann boundary optimal control problem
In this paper, we study the virtual element discretization of an elliptic optimal control problem with pointwise Neumann boundary control constraint....
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Padé-type high-order absorbing boundary condition for a coupled hydrodynamic wave model with surface tension effect
This paper addresses the design and validation of High-Order Absorbing Boundary Conditions (HABC) of the Padé family on a Coupled Hydrodynamic Wave...
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The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition
We study a spatiotemporal EIT problem with a dynamical boundary condition for the fractional Dirichlet-to-Neumann operator with a critical exponent....