The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

• Introduction 8
• Chapter 1. Elliptic equations 14
• 1.1. Conditions (ρνξ) and (ρCνξ). Differentiation of weight functions 15
• 1.2. Carleman estimates for degenerating elliptic operators 27
• 1.3. The Cauchy problem 50
• 1.4. Equation of the second order of degeneracy. Uniqueness of non-periodic solution continuation 64
• Chapter 2. Parabolic and operator-differential equations 72
• 2.1. Parabolic equation 72
• 2.2. Operator-differential equation of the first order 77
• 2.3. Operator-differential equation of the second order 90
• 3.1. A class of linear integral Volterra equations of the third kind with two independent variables 106
• Chapter 3. Volterra equations of the third kind and degenerating equations 106
• 3.2. A degenerating partial differential equation 115
• 3.3. On a class of systems of linear integral Volterra equations of the third order with two independent variables 125
• 3.4. Systems of degenerating partial differential equations 135