Determination of lower order perturbations of the polyharmonic operator from partial boundary data

DOI10.1080/00036811.2015.1092522zbMath1432.35253OpenAlexW2326178238WikidataQ58275719 ScholiaQ58275719MaRDI QIDQ2832345

Venkateswaran P. Krishnan, Tuhin Ghosh

Publication date: 11 November 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1092522

zbMATH Keywords

Carleman estimatesCalderón-type inverse problemperturbed polyharmonic operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Inverse problems for PDEs (35R30) Boundary value problems for linear higher-order PDEs (35G15) Inverse problems for integral equations (45Q05)

Related Items (11)

Inverse boundary value problems for polyharmonic operators with non-smooth coefficients ⋮ An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator ⋮ Unique continuation and inverse problem for an anisotropic beam bending equation ⋮ Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator ⋮ Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator ⋮ Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies ⋮ Stability estimates for the inverse boundary value problem for the first order perturbation of the biharmonic operator ⋮ Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds ⋮ The linearized Calderón problem for polyharmonic operators ⋮ Theoretical developments in the study of partial differential equations ⋮ Inverse Boundary Problems for Biharmonic Operators in Transversally Anisotropic Geometries

Cites Work

• A global uniqueness theorem for an inverse boundary value problem
• Determining a first order perturbation of the biharmonic operator by partial boundary measurements
• Determining the first order perturbation of a bi-harmonic operator on bounded and unbounded domains from partial data
• Completeness of products of solutions and some inverse problems for PDE
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Carleman estimates and inverse problems for Dirac operators
• A special Green's function for the biharmonic operator and its application to an inverse boundary value problem
• Determining a magnetic Schrödinger operator from partial Cauchy data
• The Calderón problem with partial data
• RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA

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