Pointwise estimates and Lp convergence rates to diffusion waves for p-system with damping

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Original languageEnglish
Pages (from-to)310-336
Journal / PublicationJournal of Differential Equations
Issue number2
Publication statusPublished - 20 Jan 2003


By introducing a new approximate Green function, we obtain the pointwise estimates on the solutions of Euler equations with linear frictional damping, from which we can deduce the optimal Lp (1 ≤ p ≤ + ∞) convergence rates to the nonlinear diffusion waves. The pointwise estimates and Lp (1 ≤ p <2) convergence rates given in this paper are new. © 2002 Elsevier Science (USA). All rights reserved.

Research Area(s)

  • Approximate Green function, Nonlinear diffusion waves, P-system with damping, Pointwise estimates