ON A BOUNDARY-VALUE PROBLEM FOR THE POISSON EQUATION AND THE CAUCHY–RIEMANN EQUATION IN A LENS
Проблемы анализаIn this paper, we consider the Dirichlet boundary-value problem for complex partial differential equations in a lens. With the help of the harmonic Green function, the Dirichlet boundary-value problem is solved explicitly for the Poisson equation in a ...
A. Darya, N. Taghizadeh
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Corrections to ``Existence and stability of solutions for semilinear Dirichlet problems'' (Ann. Polon. Math. 88 (2006), 127–139) [PDF]
, 2008 Marek Galewski
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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An inverse problem of finding two time-dependent coefficients in second\n order hyperbolic equations from Dirichlet to Neumann map [PDF]
, 2018 Mourad Bellassoued, Ibtissem Ben Aïcha
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Admissible solutions to augmented nonsymmetric $k$-Hessian type equations II. A priori estimates and the Dirichlet problem [PDF]
, 2021 Bằng Trần Văn +3 more
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Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
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On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Non-zero Initial Data [PDF]
, 2016 Dimitra C. Antonopoulou +1 more
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About Three Dimensional Double-Sided Dirichlet and Neumann Boundary Value Problems for the Laplacian [PDF]
, 2020 Olexandr Polishchuk
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Solving the Dirichlet problem for the Monge-Amp\\`ere equation using\n neural networks [PDF]
, 2021 Kaj Nyström, Matias Vestberg
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The von Neumann Stability Analysis of the Fixed‐Stress Schemes in Poroelastodynamics
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT We investigate splitting schemes based on the fixed‐stress sequential approach for poroelastodynamic problems. To assess numerical stability, we perform the von Neumann stability analysis on several fixed‐stress schemes for poroelastodynamics, including staggered, stabilized, and iterative methods. Our analysis reveals that while the staggered
Jihoon Kim +2 more
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