经典扩散和反常扩散的时间衰减估计
Decay estimates in time for classical and anomalous diffusion
摘要:
我们提出了一系列的结果集中在有界区域中的经典和反常扩散方程的解的时间衰减。解决方案的大小是在勒贝格空间中测量的,并且设置包括时间分数和空间分数方程和非线性类型的算子。我们还讨论了分数算子如何影响长时间渐近性。
英文摘要:
We present a series of results focused on the decay in time of solutions of classical and anomalous diffusive equations in a bounded domain. The size of the solution is measured in a Lebesgue space, and the setting comprises time-fractional and space-fractional equations and operators of nonlinear type. We also discuss how fractional operators may affect long-time asymptotics.
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