Results 261 to 270 of about 6,950 (285)

The Laplacian with Robin Boundary Conditions on Arbitrary Domains

Potential Analysis, 2003
The authors consider the Laplace operator \(\Delta\) on an open set \(\Omega\) in \(\mathbb{R}^n\) with the Robin boundary condition. They deal with the case of an arbitrary Borel measure \(\mu\) on the boundary \(\partial \Omega\), and show that it is always possible to define a realization \(\Delta_\mu\) of the Laplace operator on \(L^2(\Omega ...
Arendt, Wolfgang, Warma, Mahamadi
openaire   +2 more sources

Problems with Robin Boundary Conditions

2011
In this chapter we consider the third type of fundamental boundary value problems, namely, problems with Robin boundary conditions, where a linear combination of the stresses and displacements is prescribed on \(\partial S\).
Gavin R. Thomson, Christian Constanda
openaire   +1 more source

On a quenching problem with the robin boundary condition

Nonlinear Analysis: Theory, Methods & Applications, 1991
The third initial-boundary value problem for the semilinear heat equation is considered \[ u_ t-\Delta u=f(u),\quad x\in\Omega,\quad t\in(0,T), \] \[ {\partial u/\partial\nu}+a(x,t)u=0,\quad x\in\partial\Omega,\quad t\in(0,T);\quad u(x,0)=u_ 0(x),\quad x\in\Omega. \] Here \(\Omega\) is a bounded smooth domain in \(\mathbb{R}^ n\) \((n\geq 1)\), \(\nu\)
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Second Domain Variation for Problems with Robin Boundary Conditions

Journal of Optimization Theory and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catherine Bandle, Alfred Wagner
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A Hopf bifurcation with Robin boundary conditions

Journal of Dynamics and Differential Equations, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ashwin, Peter, Mei, Zhen
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Wentzell-Robin boundary conditions on C[0,1]

Semigroup Forum, 2002
The author considers the operator \(A_W\) on \(C([0,1])\) defined by: \[ \begin{cases} {\mathcal D}(A_W): =\biggl\{u\in C^2\bigl( [0,1]\bigr) \mid(au')'(j)+ \beta_j u'(j)+ \gamma_ju(j)=0,\;j=0,1\biggr\}\\ A_Wu:=(au')',\end{cases} \] where \(\beta_j\), \(\gamma_j\) \((j=0,1)\) are arbitrary real numbers and the function \(a\in C^1([0,1])\) satisfies \(a(
openaire   +1 more source

Theory of a curved planar waveguide with Robin boundary conditions

Physical Review E, 2010
A model of a thin straight strip with a uniformly curved section and with boundary requirements zeroing at the edges a linear superposition of the wave function and its normal derivative (Robin boundary condition) is analyzed theoretically within the framework of the linear Schrödinger equation and is applied to the study of the processes in the bent ...
O, Olendski, L, Mikhailovska
openaire   +2 more sources

Neumann and Robin boundary conditions

2022
Wolfgang Arendt, Karsten Urban
openaire   +1 more source

Simultaneous recovery of Robin boundary and coefficient for the Laplace equation by shape derivative

Journal of Computational and Applied Mathematics, 2022
Weifu Fang
exaly  

Consistent Robin boundary enforcement of particle method for heat transfer problem with arbitrary geometry

International Journal of Heat and Mass Transfer, 2020
Takuya Matsunaga, Guangtao Duan, Zidi Wang   +2 more
exaly