Determination of the unknown boundary condition of the inverse parabolic problems via semigroup method

DOI10.1186/1687-2770-2013-2zbMath1281.35097OpenAlexW2127369265WikidataQ59294683 ScholiaQ59294683MaRDI QIDQ393265

Ebru Ozbilge

Publication date: 16 January 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-2

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Quasilinear parabolic equations (35K59)

Related Items (3)

On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Identification of the unknown diffusion coefficient in a linear parabolic equation via semigroup approach ⋮ Inverse problem for a time-fractional parabolic equation

Cites Work

• A uniqueness theorem for determining conductivity from overspecified boundary data
• On uniqueness in inverse problems for semilinear parabolic equations
• Identification of the unknown diffusion coefficient in a linear parabolic equation by the semigroup approach
• Monotonicity of input-output mappings in inverse coefficient and source problems for parabolic equations
• Identification of the unknown diffusion coefficient in a quasi‐linear parabolic equation by semigroup approach with mixed boundary conditions
• Analysis of a semigroup approach in the inverse problem of identifying an unknown coefficient
• Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient
• Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
• Semigroup approach for identification of the unknown diffusion coefficient in a quasi‐linear parabolic equation
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation

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