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Mathematics > Analysis of PDEs

arXiv:1311.7643 (math)
[Submitted on 29 Nov 2013]

Title:General asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous media, I

Authors:Jose A. Barrionuevo, Lucas S. Oliveira 'and' Paulo. R. Zíngano
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Abstract: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.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1311.7643 [math.AP]
  (or arXiv:1311.7643v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1311.7643

Submission history

From: Jose Barrionuevo [view email]
[v1] Fri, 29 Nov 2013 17:44:34 UTC (24 KB)
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