Identification of convection term in a parabolic equation with a single measurement

DOI10.1016/S0362-546X(01)00742-8zbMath1001.35124MaRDI QIDQ1612562

Masahiro Yamamoto, Jin Cheng

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

identificationuniquenessanalytic semigroupsparabolic initial boundary value problemDirichlet to Neumann maps

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15)

Related Items (11)

Global recovery of a time-dependent coefficient for the wave equation from a single measurement ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Simultaneous determination of different class of parameters for a diffusion equation from a single measurement ⋮ Inverse problems for heat equation and space-time fractional diffusion equation with one measurement ⋮ Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set ⋮ One point recovery of a parabolic equation ⋮ A partial data inverse problem for the convection-diffusion equation ⋮ The uniqueness of inverse problems for a fractional equation with a single measurement ⋮ Stability estimate for an inverse problem of the convection-diffusion equation ⋮ Stability estimate for a partial data inverse problem for the convection-diffusion equation ⋮ Stably determining time-dependent convection–diffusion coefficients from a partial Dirichlet-to-Neumann map

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Inverse problems and Carleman estimates
• The global uniqueness for determining two convection coefficients from Dirichlet to Neumann map in two dimensions
• Identification of $q(x)$ in $u_t = \Delta u - qu$ from Boundary Observations
• Inverse problems for partial differential equations
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