On an inverse problem of nonlinear imaging with fractional damping

DOI10.1090/MCOM/3683zbMath1479.35951arXiv2103.08965OpenAlexW3202404937MaRDI QIDQ5018372

Barbara Kaltenbacher, William Rundell

Publication date: 16 December 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08965

zbMATH Keywords

ultrasounddamped nonlinear wave equationattenuated Westervelt equation in pressure formulation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Fractional partial differential equations (35R11) Second-order quasilinear hyperbolic equations (35L72)

Related Items (4)

On the determination of a coefficient in a space-fractional equation with operators of Abel type ⋮ On the simultaneous reconstruction of the nonlinearity coefficient and the sound speed in the Westervelt equation ⋮ Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ Nonlinearity parameter imaging in the frequency domain

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