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Uniqueness problems for degenerating equations and nonclassical problems

Author: S P Shishatskiĭ; A Asanov; E R Atamanov
Publisher: Utrecht ; Boston : VSP, 2001.
Series: Inverse and ill-posed problems series.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This volume presents results that were obtained on uniqueness for the main (ill-posed in the regular case) Cauchy problems for equations of the second order with exponential degeneracy.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S P Shishatskiĭ; A Asanov; E R Atamanov
ISBN: 9067643416 9789067643412
OCLC Number: 47078034
Description: viii, 177 pages : illustrations ; 25 cm.
Contents: 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.
Series Title: Inverse and ill-posed problems series.
Responsibility: S.P. Shishatskii, A. Asanov and E.R. Atamanov.

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