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Uniqueness problems for degenerating equations and nonclassical problems /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Shishatskiĭ, S. P. (Sergeĭ Petrovich) (Autor), Asanov, A. (Autor), Atamanov, E. R. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Utrecht ; Boston : VSP, 2001.
Colección:Inverse and ill-posed problems series.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Chapter 1. Elliptic equations
  • 1.1. Conditions (Ï?Î?Î?) and (Ï?CÎ?Î?). Differentiation of weight functions
  • 1.2. Carleman estimates for degenerating elliptic operators
  • 1.3. The Cauchy problem
  • 1.4. Equation of the second order of degeneracy. Uniqueness of non-periodic solution continuation
  • Chapter 2. Parabolic and operator-differential equations
  • 2.1. Parabolic equation
  • 2.2. Operator-differential equation of the first order
  • 2.3. Operator-differential equation of the second order
  • Chapter 3. Volterra equations of the third kind and degenerating equations3.1. A class of linear integral Volterra equations of the third kind with two independent variables
  • 3.2. A degenerating partial differential equation
  • 3.3. On a class of systems of linear integral Volterra equations of the third order with two independent variables
  • 3.4. Systems of degenerating partial differential equations
  • Chapter 4. Nonclassical problems for pseudoparabolic and pseudohyperbolic equations
  • 4.1. Uniqueness and stability estimate of solution to a local three-point problem for a pseudoparabolic equation4.2. Stability and uniqueness of solution to a mixed problem for a parabolic equation
  • 4.3. On a boundary value problem for a loaded pseudoparabolic equation
  • 4.4. Inverse problem for a pseudoparabolic equation
  • 4.5. Inverse problem for an operator integro-differential pseudohyperbolic equation
  • Bibliography