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math.AP2026
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…
math.AP2026
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…
math.AP2026
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…