This book is the first to comprehensively explore elasticity imaging and examines recent,
important developments in asymptotic imaging, modeling, and analysis of deterministic and …

In the light of recent developments in computer technology, a promising and efficient way to
design a material with a desired property would be to solve the inverse problem: use a …

This paper concerns the source scattering problems for acoustic wave propagation, which is
governed by the two-or three-dimensional stochastic Helmholtz equation. As a source, the …

This paper is concerned with the direct and inverse random source scattering problems for
elastic waves, where the source is assumed to be driven by an additive white noise. Given …

This paper concerns the random source problems for the time-harmonic acoustic and elastic
wave equations in two and three dimensions. The goal is to determine the compactly …

This paper is concerned with an inverse random source scattering problem in an
inhomogeneous background medium. The wave propagation is modeled by the stochastic …

In this paper, we establish two Carleman estimates for a stochastic degenerate parabolic
equation. The first one is for the backward stochastic degenerate parabolic equation with …

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 …

In this paper, a novel mathematical model and new approach is proposed for identification of
an unknown shear force in a system governed by the general form Euler–Bernoulli beam …

This paper provides a theoretical foundation and numerical method for an inverse source
problem of identifying a temporal load in a cantilever beam, with Neumann measured …