Results 11 to 20 of about 5,151 (167)
Boundary regularity results for minimisers of convex functionals with (p, q)-growth
Advances in Nonlinear Analysis, 2023 We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with (p,q)\left(p,q)-growth, satisfying a Hölder-growth condition in xx. We consider both Dirichlet and Neumann boundary data.
Irving Christopher, Koch Lukas
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The Meyers Estimates for Domains Perforated along the Boundary
Mathematics, 2021 In this paper, we consider an elliptic problem in a domain perforated along the boundary. By setting a homogeneous Dirichlet condition on the boundary of the cavities and a homogeneous Neumann condition on the outer boundary of the domain, we prove ...
Gregory A. Chechkin
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Homogenization of elliptic systems with Neumann boundary conditions [PDF]
Journal of the American Mathematical Society, 2013 The main purpose of this work is to study uniform regularity estimates for a family of elliptic operators $\{\mathcal{L}_\varepsilon, \varepsilon>0\}$, arising in the theory of homogenization, with rapidly oscillating periodic coefficients. We establish sharp $W^{1,p}$ estimates, Lipschitz estimates, and nontangential maximal function estimates ...
Kenig, Carlos E. +2 more
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Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
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Isospectral shapes with Neumann and alternating boundary conditions [PDF]
Physical Review E, 2003 The isospectrality of a well-known pair of shapes constructed from two arrangements of seven congruent right isosceles triangles with the Neumann boundary condition is verified numerically to high precision. Equally strong numerical evidence for isospectrality is presented for the eigenvalues of this standard pair in new boundary configurations with ...
Driscoll, T., Gottlieb, Hans
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Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition
Advances in Materials Science and Engineering, 2018 The nonstable transport of chloride in cement-based materials, including diffusion, convection, and chloride binding, is described as a general form of Fick’s law.
Qi Meng +4 more
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Nonlocal Neumann boundary conditions
Bruno Pini Mathematical Analysis Seminar, 2023 We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for particular types of problems.
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Holographic BCFT with Dirichlet boundary condition
Journal of High Energy Physics, 2019 Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests.
Rong-Xin Miao
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Homogenization of oblique boundary value problems
Advanced Nonlinear Studies, 2023 We consider a nonlinear Neumann problem, with periodic oscillation in the elliptic operator and on the boundary condition. Our focus is on problems posed in half-spaces, but with general normal directions that may not be parallel to the directions of ...
Choi Sunhi, Kim Inwon C.
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the present study, a numerical study for source identification problems with the Neumann boundary condition for a one-dimensional hyperbolic-parabolic equation is presented.
M.A. Ashyralyeva, M. Ashyralyev
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