In this review, concerning parabolic equations, we give self-contained descriptions on (1)
derivations of Carleman estimates;(2) methods for applications of the Carleman estimates to …

The (interior) transmission eigenvalue problems are a type of non-elliptic, non-selfadjoint
and nonlinear spectral problems that arise in the theory of wave scattering. They connect to …

In this chapter, we are interested in finding coefficients of the second-order hyperbolic
operator:(8.0. 1) a0∂ 2 t u+ Au= f in Q= Ω×(0, T) given the initial data (8.0. 2) u= u0,∂ tu= u1 …

Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems is the first
book in which two new concepts of numerical solutions of multidimensional Coefficient …

In this book, focusing on hyperbolic systems, we give self-contained descriptions of•
derivations of Carleman estimates;• methods for application of Carleman estimates to …

This book summarizes the main analytical and numerical results of Carleman estimates. In
the analytical part, Carleman estimates for three main types of Partial Differential Equations …

In this monograph, the main subject of the author's considerations is coefficient inverse
problems. Arising in many areas of natural sciences and technology, such problems consist …

Carleman estimates for global uniqueness, stability and numerical methods for coefficient
inverse problems Page 1 J. Inverse Ill-Posed Probl. 21 (2013), 477 – 560 DOI 10.1515/jip-2012-0072 …

Driven by the advancement of industrial mathematics and the need for impact case studies,
Inverse Problems with Applications in Science and Engineering thoroughly examines the …

We are concerned with the mathematical study of the mean field games system (MFGS). In
the conventional setup, the MFGS is a system of two coupled nonlinear parabolic partial …