Nonclassical and Inverse Problems for Pseudoparabolic Equations

Part 1 The Cauchy problem with data in a time-like manifold for the pseudoparabolic equation: uniqueness of the solution in the class U(a,b); on the stability type for the Cauchy problem with data in the time half-axis; existence of solutions in the class U(a,b); the Cauchy problem in the multidimensional case; uniqueness in continuation of solution to the degenerate differential equations with unbounded operator in the characteristic case. Part 2 Interior problems for pseudoparabolic equations: three-point problem; the inverse problem for the pseudoparabolic equation without initial data; the interior periodic problem; recovering the solution to the pseudoparabolic equation by its values in the curve; the probability interpretation of multipoint problems. Part 3 Inverse problems for operator pseudoparabolic equations: the inverse problem for operator pseudoparabolic equations; the inverse problem for the operator integro-differential pseudoparabolic equation; recovering the kernels of the integro-differential operator of pseudoparabolic equations.