Composite type equations and inverse problems /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kozhanov, A. I. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Utrecht, the Netherlands : VSP, 1999.
Colección:Inverse and ill-posed problems series.
Temas:
Boundary value problems.
Differential equations, Partial.
Inverse problems (Differential equations)
Problèmes aux limites.
Équations aux dérivées partielles.
Problèmes inverses (Équations différentielles)
Boundary value problems
Differential equations, Partial
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Chapter 1. Composite type equations as the original mathematical object
  • 1.1. Equations of the composite type in mathematics and mathematical simulation
  • 1.2. Canonical types of third order equations
  • 1.3. Boundary-value problems for third order equations of composite type
  • 1.3.1. Hyperbolic boundary-value problem. Uniqueness of regular solutions
  • 1.3.2. Existence of the regularized solutions of the hyperbolic boundary-value problem
  • 1.3.3. Existence of regular solutions of the hyperbolic boundary-value problem
  • 1.3.4. The elliptic boundary-value problem. Uniqueness of regular solutions1.3.5. Existence of generalized solutions of the elliptic boundary-value problem
  • 1.3.6. Existence of regular solutions of the elliptic boundary-value problem
  • 1.3.7. Correlation of the hyperbolic and elliptic boundary-value problems
  • 1.3.8. Remark on the third order equations of the variable direction
  • 1.3.9. Nonlocal problems for equations of composite type
  • Chapter 2. Solvability of inverse problems and other applications
  • 2.1. Inverse problems for equations with partial derivatives
  • 2.1.1. Linear inverse problems for elliptic and parabolic equations2.1.2. On solvability of nonlinear inverse problems
  • 2.2. Solvability of nonclassical boundary-value problems for equations of second order and third order
  • 2.2.1. The mixed problem for second order equations not solved for the time derivative
  • 2.2.2. Boundary-value problems for the second order equations of the mixed type
  • 2.2.3. The problem with oblique derivative for equations of second and third orders
  • 2.2.4. A problem of viscous elasticity and the third order equation in noncylindrical domains connected with this problemConclusion
  • Bibliography

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