Results 1 to 10 of about 5,502 (166)
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks [PDF]
Heliyon, 2023 In this paper, we present and compare four methods to enforce Dirichlet boundary conditions in Physics-Informed Neural Networks (PINNs) and Variational Physics-Informed Neural Networks (VPINNs).
S. Berrone +3 more
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Quantum “violation” of Dirichlet boundary condition
Physics Letters B, 2017 Dirichlet boundary conditions have been widely used in general relativity. They seem at odds with the holographic property of gravity simply because a boundary configuration can be varying and dynamic instead of dying out as required by the conditions ...
I.Y. Park
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Nonlinear differential equations with perturbed Dirichlet integral boundary conditions [PDF]
Boundary Value Problems, 2021 This paper is devoted to prove the existence of positive solutions of a second order differential equation with a nonhomogeneous Dirichlet conditions given by a parameter dependence integral.
Alberto Cabada, Javier Iglesias
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Trace Formulae for Second-Order Differential Pencils with a Frozen Argument
Mathematics, 2023 This paper deals with second-order differential pencils with a fixed frozen argument on a finite interval. We obtain the trace formulae under four boundary conditions: Dirichlet–Dirichlet, Neumann–Neumann, Dirichlet–Neumann, Neumann–Dirichlet.
Yi-Teng Hu, Murat Şat
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Electronic Journal of Qualitative Theory of Differential Equations, 2022 The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a general $\phi $-Laplace operator in the annulus.
Jorge Rodríguez-López +2 more
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Free energy and defect C-theorem in free scalar theory
Journal of High Energy Physics, 2021 We describe conformal defects of p dimensions in a free scalar theory on a d-dimensional flat space as boundary conditions on the conformally flat space ℍ p+1 × 𝕊 d−p−1.
Tatsuma Nishioka, Yoshiki Sato
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Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions [PDF]
Opuscula Mathematica, 2022 Let \(\Omega\) be a \(C^{2}\) bounded domain in \(\mathbb{R}^{n}\) such that \(\partial\Omega=\Gamma_{1}\cup\Gamma_{2}\), where \(\Gamma_{1}\) and \(\Gamma_{2}\) are disjoint closed subsets of \(\partial\Omega\), and consider the problem\(-\Delta u=g ...
Tomas Godoy
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Abelian mirror symmetry of N $$ \mathcal{N} $$ = (2, 2) boundary conditions
Journal of High Energy Physics, 2021 We evaluate half-indices of N $$ \mathcal{N} $$ = (2, 2) half-BPS boundary conditions in 3d N $$ \mathcal{N} $$ = 4 supersymmetric Abelian gauge theories.
Tadashi Okazaki
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Willmore Obstacle Problems under Dirichlet Boundary Conditions
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2023 We consider obstacle problems for the Willmore functional in the class of graphs of functions and surfaces of revolution with Dirichlet boundary conditions. We prove the existence of minimisers of the obstacle problems under the assumption that the Willmore energy with the unilateral constraint is below a universal bound.
Grunau, Hans-Christoph, Okabe, Shinya
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Mathematics, 2022 In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring.
Mengya Su, Liuqing Xie, Zhiyue Zhang
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