指数形约瑟夫森结
On exponentially shaped Josephson junctions
摘要：
本文讨论了描述超导中指数形约瑟夫森结的三阶半线性方程。分析了具有Dirichlet条件的初边值问题。当源项F是一个线性函数时，该问题通过具有快速收敛性质的傅立叶级数显式求解。当F是非线性的，适当的估计，这个系列允许推出先验估计，连续相关性和渐近行为的解决方案。
英文摘要：
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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