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Uniqueness Problems for Degenerating Equations and Nonclassical Problems.

By: Contributor(s): Material type: TextTextSeries: Inverse and Ill-Posed Problems SeriesPublisher: Berlin/Boston : Walter de Gruyter GmbH, 2001Copyright date: ©2001Edition: 1st edDescription: 1 online resource (192 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110920321
Subject(s): Genre/Form: Additional physical formats: Print version:: Uniqueness Problems for Degenerating Equations and Nonclassical ProblemsDDC classification:
  • 515/.353
LOC classification:
  • QA377 -- .S48 2001eb
Online resources:
Contents:
Intro -- Introduction -- Chapter 1. Elliptic equations -- 1.1. Conditions (ρνξ) and (ρCνξ). 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 equations -- 3.1. 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 equation -- 4.2. 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.
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Intro -- Introduction -- Chapter 1. Elliptic equations -- 1.1. Conditions (ρνξ) and (ρCνξ). 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 equations -- 3.1. 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 equation -- 4.2. 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.

No detailed description available for "Uniqueness Problems for Degenerating Equations and Nonclassical Problems".

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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