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
• 1 The Cauchy problem with data in a time-like manifold for the pseudoparabolic equation 12
• §1.1 Uniqueness of the solution in the class U(a, b) 14
• §1.2 Stability of solutions in the class U(a, b) 19
• §1.3 On the stability type for the Cauchy problem with data in the time half-axis 26
• §1.4 Existence of solutions in the class U(a, b) 32
• §1.5 The Cauchy problem in the multidimensional case 42
• §1.6 Uniqueness of continuation of solution to the degenerate differential equations with unbou nded operator in the characteris 46
• 2 Interior problems for pseudoparabolic equations 56
• §2.1 Three-point problem 57
• §2.2 The inverse problem for the pseudoparabolic equation without initial data 66
• §2.3 The interior periodic problem 68
• §2.4 Recovering the solution to the pseudoparabolic equation by its values in the curve 73
• §2.5 The probability interpretation of multipoint problems 77
• 3 Inverse problems for operator pseudoparabolic equations 84