In this paper, we study inverse boundary problems associated with semilinear parabolic
systems in several scenarios where both the nonlinearities and the initial data can be …

We are concerned with the inverse problem of recovering a conductive medium body. The
conductive medium body arises in several applications of practical importance, including the …

In this paper, we study several inverse problems associated with a fractional differential
equation of the following form:\[(-\Delta)^ su (x)+\sum_ {k= 0}^ N a^{(k)}(x)[u (x)]^ k= 0,\\0< s< …

This paper is devoted to some inverse boundary problems associated with a time‐
dependent semilinear hyperbolic equation, where both nonlinearity and sources (including …

We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid
obstacle and the excitation sources using near-field measurements. Specifically, we are …

This paper concerns the simultaneous reconstruction of a sound-soft cavity and its excitation
sources from the total-field data. Using the single-layer potential representations on two …

In this paper, a new model is proposed for the inverse random source scattering problem of
the Helmholtz equation with attenuation. The source is assumed to be driven by a fractional …

We study inverse source problems associated to semilinear elliptic equations of the
form\[\Delta u (x)+ a (x, u)= F (x),\] on a bounded domain $\Omega\subset\mathbb {R}^ n …

In passive imaging, one attempts to reconstruct some coefficients in a wave equation from
correlations of observed randomly excited solutions to this wave equation. Many methods …

This paper addresses the direct and inverse source problems for the stochastic acoustic,
biharmonic, electromagnetic, and elastic wave equations in a unified framework. The driven …