Results 271 to 280 of about 283,896 (317)
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Dirichlet-to-Neumann boundary conditions for multiple scattering problems
Journal of Computational Physics, 2003This paper deals with a Dirichlet-to-Neumann condition which is derived for the numerical solution of time-harmonic multiple scattering problems, where the scatterer consists of several disjoints components.
Grote, Marcus J., Kirsch, Christoph
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Dirichlet and Neumann boundary conditions: What is in between?
Journal of Evolution Equations, 2003Given an open set \(\Omega\) in \(\mathbb{R}^n\), an admissible measure on \(\partial \Omega\) is a Radon measure \(\mu\) on the Borel \(\sigma\)-field of some open subset \(\Gamma_{\mu}\) of \(\partial \Omega\) which does not charge sets of capacity zero.
Arendt, Wolfgang, Warma, Mahamadi
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The Dirichlet Problem With Denjoy-Perron Integrable Boundary Condition
Canadian Mathematical Bulletin, 1985AbstractThe Poisson integral of a Denjoy-Perron integrable function defined on the boundary of an open disc is harmonic in this disc. Moreover, almost everywhere on the boundary, the nontangential limits of the integral coincide with the boundary condition. This extends the classical result for Lebesgue integrable boundary conditions.
Benedicks, M., Pfeffer, W. F.
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Finite Size Critical Behavior for Dirichlet Boundary Conditions
Zeitschrift f�r Physik B Condensed Matter, 1985The behavior, near the upper critical dimension d = 4, of finite size properties at bulk criticality for n -vector models is shown to depend qualitatively on the type of boundary condition (bc). Contrary to the more complicated behavior which holds for periodic bc's, there exists an e = 4 − d expansion for Dirichlet (or free) bc's with only ...
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Optimality Conditions for State-Constrained Dirichlet Boundary Control Problems
Journal of Optimization Theory and Applications, 1999The system is \[ \begin{aligned}{\partial y(t, x) \over \partial t} &= Ay(t, x) + \Phi(t, x, y(t, x)),\quad (t, x) \in (0, T) \times \Omega, \\ y(0, x) &= y_0(x), \qquad x \in \Omega,\end{aligned} \] \((\Omega\) an \(n\)-dimensional domain with boundary \(\Gamma,\) \(A\) a second order elliptic operator).
Arada, N., Raymond, J.-P.
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Nonlinear Elliptic Equations with Dirichlet Boundary Conditions
2013This chapter studies nonlinear Dirichlet boundary value problems through various methods such as degree theory, variational methods, lower and upper solutions, Morse theory, and nonlinear operators techniques. The combined application of these methods enables us to handle, under suitable hypotheses, a large variety of cases: sublinear, asymptotically ...
Dumitru Motreanu +2 more
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, 2005
.We consider the perturbed harmonic oscillator $$T_{D}\psi=-\psi^{\prime\prime}+x^{2}\psi+q(x)\psi, \psi(0)=0,$$ in $$L^{2}(\mathbb{R}_{+})$$ , where $$q \in {\mathbf{H}}_{+} = \{q^{\prime}, xq \in L^{2}(\mathbb{R}_{+})\}$$ is a real-valued ...
Dmitry Chelkak, E. Korotyaev
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.We consider the perturbed harmonic oscillator $$T_{D}\psi=-\psi^{\prime\prime}+x^{2}\psi+q(x)\psi, \psi(0)=0,$$ in $$L^{2}(\mathbb{R}_{+})$$ , where $$q \in {\mathbf{H}}_{+} = \{q^{\prime}, xq \in L^{2}(\mathbb{R}_{+})\}$$ is a real-valued ...
Dmitry Chelkak, E. Korotyaev
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Use of Dirichlet boundary conditions for electron-atom scattering
Physical Review A, 1988An R-matrix variational principle is presented in which the value of the function on the boundary surface is specified rather than its slope or logarithmic slope. Such a boundary condition appears to be convenient for treatment of the ionization process because, in principle, a boundary function can be built up by linear combination of inside solutions.
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A Dirichlet boundary condition for the thermal lattice Boltzmann method
, 2020Y. Chen, C. Müller
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Stability and Bifurcation in a Delayed Reaction–Diffusion Equation with Dirichlet Boundary Condition
Journal of nonlinear science, 2016Shangjiang Guo, Li Ma
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