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Stability estimates for Burgers-type equations backward in time
-
Dinh Nho Hào
,
Nguyen Van Duc
Veröffentlicht/Copyright:
18. April 2014
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 ≤ t ≤ T, 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.
Keywords: Burgers-type equations backward in time; stability estimates; log-convexity method; nonlinear ill-posed
problems
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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Artikel in diesem Heft
- Frontmatter
- Inverse problems for linear degenerate parabolic equations by “time-like” Carleman estimate
- Spectral problems and scattering on noncompact star-shaped graphs containing finite rays
- Stability estimates for Burgers-type equations backward in time
- A Hölder-logarithmic stability estimate for an inverse problem in two dimensions
- On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition
- Identification of an unknown spatial load distribution in a vibrating cantilevered beam from final overdetermination
Schlagwörter für diesen Artikel
Burgers-type equations backward in time;
stability estimates;
log-convexity method;
nonlinear ill-posed
problems
Artikel in diesem Heft
- Frontmatter
- Inverse problems for linear degenerate parabolic equations by “time-like” Carleman estimate
- Spectral problems and scattering on noncompact star-shaped graphs containing finite rays
- Stability estimates for Burgers-type equations backward in time
- A Hölder-logarithmic stability estimate for an inverse problem in two dimensions
- On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition
- Identification of an unknown spatial load distribution in a vibrating cantilevered beam from final overdetermination
