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arXiv · 1202.5189

On exponentially shaped Josephson junctions

Monica De Angelis
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Abstract

The paper deals with a third order semilinear equation which char- acterizes exponentially shaped Josephson junctions in superconductivity. The initial-boundary problem with Dirichlet conditions is analyzed. When the source term F is a linear function, the problem is explicitly solved by means of a Fourier series with properties of rapid convergence. When F is nonlin- ear, appropriate estimates of this series allow to deduce a priori estimates, continuous dependence and asymptotic behaviour of the solution.

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Monica De Angelis. 2012-02-23. On exponentially shaped Josephson junctions. https://arxiv.org/abs/1202.5189

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