23 citations · 79 across the 22 of their papers we have counts for
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Logarithmic Stability for an Inverse Source Problem in a Coupled Nonlinear Helmholtz System
Hongcan Ye, Lei Zhang, Ting Zhou
We study an inverse source problem for a two-mode nonlinear Helmholtz system motivated by second-harmonic generation. The datum is the full first Fréchet derivative of the nonlinea…
An Inverse Random Source Problem for the Moore-Gibson-Thompson Equation Driven by Fractional Brownian Motion
Lingxi Gao, Yeqiong Ye, Ting Zhou
In this paper, we consider an inverse random source problem for the stochastic Moore-Gibson-Thompson equation driven by fractional Brownian motion with Hurst index o…
Inverse boundary value problems of determining nonlinear coefficients for the JMGT equation
Dong Qiu, Xiang Xu, Yeqiong Ye +1
We consider inverse boundary value problems for the Jordan-Moore-Gibson-Thompson (JMGT) equation in nonlinear acoustics with quadratic nonlinearities of Kuznetsov-type and Westerve…
Uniqueness Result For Semi-linear Wave Equations With Sources
Dong Qiu, Xiang Xu, Yeqiong Ye +1
This paper addresses the inverse problem of simultaneously recovering multiple unknown parameters for semilinear wave equations from boundary measurements. We consider an initial-b…
Partial Data Inverse Problems for the Nonlinear Schrödinger Equation
Ru-Yu Lai, Xuezhu Lu, Ting Zhou
In this paper we prove the uniqueness and stability in determining a time-dependent nonlinear coefficient in the Schrödinger equation $(i\partial_t + Δ+ q(t, x))u + βu^2…
Inverse transport and diffusion problems in photoacoustic imaging with nonlinear absorption
Ru-Yu Lai, Kui Ren, Ting Zhou
Motivated by applications in imaging nonlinear optical absorption by photoacoustic tomography (PAT), we study in this work inverse coefficient problems for a semilinear radiative t…