Nonclassical and Inverse Problems for Pseudoparabolic Equations

✍ Scribed by A. Asanov; E. R. Atamanov

• Publisher: De Gruyter
• Year: 1997
• Tongue: English
• Leaves: 156
• Series: Inverse and Ill-Posed Problems Series; 7
• Category: Library

✦ Table of Contents

Introduction
1 The Cauchy problem with data in a time-like manifold for the pseudoparabolic equation
§1.1 Uniqueness of the solution in the class U(a, b)
§1.2 Stability of solutions in the class U(a, b)
§1.3 On the stability type for the Cauchy problem with data in the time half-axis
§1.4 Existence of solutions in the class U(a, b)
§1.5 The Cauchy problem in the multidimensional case
§1.6 Uniqueness of continuation of solution to the degenerate differential equations with unbou nded operator in the characteristic case
2 Interior problems for pseudoparabolic equations
§2.1 Three-point problem
§2.2 The inverse problem for the pseudoparabolic equation without initial data
§2.3 The interior periodic problem
§2.4 Recovering the solution to the pseudoparabolic equation by its values in the curve
§2.5 The probability interpretation of multipoint problems
3 Inverse problems for operator pseudoparabolic equations
§3.1 The inverse problem for operator pseudoparabolic equations
§3.2 The inverse problem for the operator integro- differential pseudoparabolic equation
§3.3 Recovering the kernels of the integro-differential operator of pseudoparabolic equation
Bibliography