Uniqueness Problems for Degenerating Equations and Nonclassical Problems

Elliptic equations - conditions (rnx) and (rcnx), differentiation of weight functions, Carleman estimates for degenerating elliptic operators, the Cauchy problem, equations of the second order of degeneracy, uniqueness of non-periodic solution continuation; parabolic and operator-differential equations - parabolic equation, operator-differential equation of the first order, operator-differential equation of the second order; 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; 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 an operator integro-differential pseudohyperbolic equation.