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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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Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions [PDF]
Opuscula Mathematica, 2014 We prove a dichotomy result giving the positivity preserving property for a biharmonic equation with Dirichlet boundary conditions arising in MEMS models. We adapt some ideas in [H.-Ch. Grunau, G.
Hanen Ben Omrane, Saïma Khenissy
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On stability of non-inflectional elastica
Comptes Rendus. Mécanique, 2020 This study considers the stability of a non-inflectional elastica under a conservative end force subject to the Dirichlet, mixed, and Neumann boundary conditions.
Batista, Milan
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Higher order Nevanlinna functions and the inverse three spectra problem [PDF]
Opuscula Mathematica, 2016 The three spectra problem of recovering the Sturm-Liouville equation by the spectrum of the Dirichlet-Dirichlet boundary value problem on \([0,a]\), the Dirichlet-Dirichlet problem on \([0,a/2]\) and the Neumann-Dirichlet problem on \([a/2,a]\) is ...
Olga Boyko +2 more
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Free energy and defect C-theorem in free fermion
Journal of High Energy Physics, 2021 We describe a p-dimensional conformal defect of a free Dirac fermion on a d-dimensional flat space as boundary conditions on a conformally equivalent space ℍ p+1 × S $$ \mathbbm{S} $$ d−p−1.
Yoshiki Sato
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Moving Dirichlet boundary conditions [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2014 This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which ...
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Condensation of fermion pairs in a domain [PDF]
, 2016 We consider a gas of fermions at zero temperature and low density, interacting via a microscopic two body potential which admits a bound state. The particles are confined to a domain with Dirichlet (i.e. zero) boundary conditions.
Frank, Rupert L. +2 more
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Path Integral Solution of Linear Second Order Partial Differential Equations I. The General Construction [PDF]
, 2004 A path integral is presented that solves a general class of linear second order partial differential equations with Dirichlet/Neumann boundary conditions. Elementary kernels are constructed for both Dirichlet and Neumann boundary conditions.
Abraham +16 more
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Absorption semigroups and dirichlet boundary conditions
Mathematische Annalen, 1993 Given a positive \(C_ 0\)-semigroup \(T\) on \(L^ p(X)\) and an arbitrary non-negative potential \(V\), an absorption semigroup \(T_ V\) is constructed as a \(C_ 0\)-semigroup on \(L^ p(X_ V)\) for a certain subset \(X_ V\) of \(X\). Information is obtained about \(X_ V\).
Arendt, W., Batty, C.J.K.
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