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Stability estimates for Burgers-type equations backward in time

  • Dinh Nho Hào EMAIL logo , Nguyen Van Duc and Nguyen Van Thang

Abstract

We prove stability estimates of Hölder-type for Burgers-type equations ut = (a(x,t)ux)x - d(x,t)uux + f(x,t), (x,t) ∈ (0,1)×(0,T), u(0,t) = g0(t), u(1,t) = g1(t), 0 ≤ tT, backward in time, with a(x,t), d(x,t), g0(t), g1(t), f(x,t) being smooth functions, under relatively weak conditions on the solutions.

Funding source: Vietnam National Foundation for Science and Technology Development (NAFOSTED)

Award Identifier / Grant number: 101.02-2011.50

Funding source: Vietnam Ministry of Education and Training

Award Identifier / Grant number: B2013-27-09

Received: 2013-8-29
Revised: 2014-3-11
Accepted: 2014-3-12
Published Online: 2014-4-18
Published in Print: 2015-2-1

© 2015 by De Gruyter

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