Abstract
Introduction Chapter 1. Elliptic equations Conditions ( and c Differentiation of weight functions Carleman estimates for degenerating ellipting operators The Cauchy problem Equations of the second order of degeneracy. Uniqueness of non-periodic solution continuation Chapter 2. Parabolic and operator-differential equations Parabolic equation Operator-differential equation of the first order Operator-differential equation of the second order Chapter 3. Volterra equations of the third kind and degenerating equations A class of linear integral Volterra equations of the third kind with two independent variables A degenerating partial differential equation On a class of systems of linear integral Volterra equations of the third order with two independent variables Systems of degenerating partial differential equations Chapter 4. Nonclassical problems for pseudoparabolic and pseudohyperbolic equations Uniqueness and stability estimate of solution to a local three-point problem for a pseudoparabolic equation Stability and uniqueness of solution to a mixed problem for a parabolic equation On a boundary value problem for a loaded pseudoparabolic equation Inverse problem for a pseudoparabolic equation Inverse problem for an operator integro-differential pseudohyperbolic equation Bibliography
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