Results 21 to 30 of about 167 (164)
On the p-Laplacian with Robin boundary conditions and boundary trace theorems [PDF]
Let $ \subset\mathbb{R}^ $, $ \ge 2$, be a $C^{1,1}$ domain whose boundary $\partial $ is either compact or behaves suitably at infinity. For $p\in(1,\infty)$ and $ >0$, define \[ ( ,p, ):=\inf_{\substack{u\in W^{1,p}( )\\ u\not\equiv 0}}\dfrac{\displaystyle \int_ |\nabla u|^p \mathrm{d} x - \displaystyle\int_{\partial } |u|^p\mathrm{d}
KOVARIK, HYNEK, Pankrashkin, Konstantin
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Extremizing temperature functions of rods with Robin boundary conditions
We compare the solutions of two one-dimensional Poisson problems on an interval with Robin boundary conditions, one with given data, and one where the data has been symmetrized. When the Robin parameter is positive and the symmetrization is symmetric decreasing rearrangement, we prove that the solution to the symmetrized problem has larger increasing ...
Langford, Jeffrey J., McDonald, Patrick
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Scalar field with Robin boundary conditions in the worldline formalism [PDF]
The worldline formalism has been widely used to compute physical quantities in quantum field theory. However, applications of this formalism to quantum fields in the presence of boundaries have been studied only recently. In this article we show how to compute in the worldline approach the heat kernel expansion for a scalar field with boundary ...
Pablo Pisani+3 more
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Stability for the Determination of Unknown Boundary and Impedance with a Robin Boundary Condition [PDF]
We consider an inverse problem arising in corrosion detection. We prove a stability result of logarithmic type for the determination of the corroded portion of the boundary and impedance by two measurements on the accessible portion of the boundary.
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Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions [PDF]
We explore boundary scattering in the sine-Gordon model with a non-integrable family of Robin boundary conditions. The soliton content of the field after collision is analysed using a numerical implementation of the direct scattering problem associated with the inverse scattering method.
Arthur, Robert+2 more
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Large multidimensional digital images of cancer tissue are becoming prolific, but many challenges exist to automatically extract relevant information from them using computational tools. We describe publicly available resources that have been developed jointly by expert and non‐expert computational biologists working together during a virtual hackathon
Sandhya Prabhakaran+16 more
wiley +1 more source
The Laplace operator on the Sierpinski gasket with Robin boundary conditions [PDF]
15 ...
Breckner, Brigitte, Chill, Ralph
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Development of Aluminum Scandium Alloys for Hydrogen Storage Valves
Different aluminum alloy series and various aluminum‐scandium alloys with differing Sc and Zr levels are evaluated for use in hydrogen storage valve production. The alloys undergo hardness testing, optical microscopy, and tensile strength analysis, with hardening behavior studied under varying conditions.
Francisco García‐Moreno+4 more
wiley +1 more source
The hybrid spectral problem and Robin boundary conditions [PDF]
24 pages. Typos and a few factors corrected. Minor comments added. Substantial Robin additions.
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Bioresorbable and Wireless Rechargeable Implanted Na‐ion Battery for Temporary Medical Devices
An all‐solid‐state bioresorbable Na‐ion battery is developed, composed entirely of bio‐eliminable materials. In vivo and ex vivo tests confirmed harmless disintegration of this implanted battery. Lifetime of the implanted battery can be precisely controlled by adjusting the dissolvable encapsulation layer's thickness.
Vedi Kuyil Azhagan Muniraj+8 more
wiley +1 more source