Over the last two decades, anomalous diffusion processes in which the mean squares
variance grows slower or faster than that in a Gaussian process have found many …

The investigation of regularization schemes with sparsity promoting penalty terms has been
one of the dominant topics in the field of inverse problems over the last years, and Tikhonov …

Regularization methods are a key tool in the solution of inverse problems. They are used to
introduce prior knowledge and allow a robust approximation of ill-posed (pseudo-) inverses …

The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

Inverse problems arise from the need to interpret indirect and incomplete measurements. As
an area of contemporary mathematics, the field of inverse problems is strongly driven by …

The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …

This book presents the main results and methods on inverse spectral problems for Sturm-
Liouville differential operators and their applications. Inverse problems of spectral analysis …

Structured light–electromagnetic waves with a strong spatial inhomogeneity of amplitude,
phase, and polarization–has occupied far-reaching positions in both optical research and …

Inverse boundary problems are a rapidly developing area of applied mathematics with
applications throughout physics and the engineering sciences. However, the mathematical …

Inverse eigenvalue problems arise in a remarkable variety of applications and associated
with any inverse eigenvalue problem are two fundamental questions—the theoretical issue …