Abstract
A parabolic integro differential operator \(\mathcal{L}\), suitable to describe many phenomena in various physical fields, is considered. By means of equivalence between \(\mathcal{L}\) and the third order equation describing the evolution inside an exponentially shaped Josephson junction (ESJJ), an asymptotic analysis for (ESJJ) is achieved, explicitly evaluating, boundary contributions related to the Dirichlet problem.
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This paper has been performed under the auspices of G.N.F.M. of I.N.D.A.M.
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De Angelis, M., Renno, P. On Asymptotic Effects of Boundary Perturbations in Exponentially Shaped Josephson Junctions. Acta Appl Math 132, 251–259 (2014). https://doi.org/10.1007/s10440-014-9898-8
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DOI: https://doi.org/10.1007/s10440-014-9898-8
Keywords
- Superconductivity
- Junctions
- Laplace Transform
- Initial-boundary problems for higher order parabolic equations