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Bibliographic Details
Main Authors: Barrionuevo, Jose A., Oliveira, Lucas S., Zíngano, Paulo. R.
Format: Preprint
Published: 2013
Subjects:
Online Access:https://arxiv.org/abs/1311.7643
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Table of Contents:
  • We derive general bounds for the large time size of supnorm values of solutions to one-dimensional advection-diffusion equations with initial data in Lp0 (R) \cap L1 for some 1 <= p0 < \infty, and arbitrary bounded advection speeds b(x, t), introducing techniques based on suitable energy arguments. Some open problems and related results are also given.