Results 11 to 20 of about 4,516 (262)
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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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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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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Solution to the Dirichlet Problem of the Wave Equation on a Star Graph
Mathematics, 2023 In this paper, the solution to the Dirichlet problem for the wave equation on the star graph is constructed. To begin, we solve the boundary value problem on the interval (on one edge of the graph).
Gaukhar Arepova +2 more
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The dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions [PDF]
Communications in Partial Differential Equations, 2020 We consider the mixed Dirichlet-conormal problem on irregular domains in $\mathbb{R}^d$. Two types of regularity results will be discussed: the $W^{1,p}$ regularity and a non-tangential maximal function estimate. The domain is assumed to be Reifenberg-flat, and the interfacial boundary is either Reifenberg-flat of co-dimension $2$ or is locally ...
Hongjie Dong, Zongyuan Li
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On the dynamics in the AdS/BCFT correspondence
Journal of High Energy Physics, 2022 We consider a perturbation of the Einstein gravity with the Neumann boundary condition, which is regarded as an end of the world brane (ETW brane) of the AdS/BCFT correspondence, in the AdS d+1 spacetime with d ≥ 3.
Yu-ki Suzuki, Seiji Terashima
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TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
Acta Polytechnica, 2016 Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on F,
Marzena Szajewska +1 more
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Alexandria Engineering Journal, 2022 In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one.
S.M. Helal, A. Elmekawy
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Steady compressible heat-conductive fluid with inflow boundary condition
Boundary Value Problems, 2017 In this paper, we study strong solutions to the steady compressible heat-conductive fluid near a non-zero constant flow with the Dirichlet boundary condition for the velocity on the inflow and outflow part of the boundary.
Chunhui Zhou
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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