03740nam 2200757 450 991082413670332120230607232343.03-11-094463-410.1515/9783110944631(CKB)3390000000034973(EBL)4008728(SSID)ssj0001123071(PQKBManifestationID)11637817(PQKBTitleCode)TC0001123071(PQKBWorkID)11070449(PQKB)11526664(MiAaPQ)EBC4008728(DE-B1597)57199(OCoLC)979589223(DE-B1597)9783110944631(Au-PeEL)EBL4008728(CaPaEBR)ebr11072076(CaONFJC)MIL807491(OCoLC)913089434(EXLCZ)99339000000003497320160223h20022002 uy 0engur|n|---|||||txtccrInverse problems for partial differential equations /Yu. Ya. BelovReprint 2012Utrecht, [The Netherlands] :VSP,2002.©20021 online resource (219 p.)Inverse and Ill-Posed Problems SeriesDescription based upon print version of record.3-11-062025-1 90-6764-358-0 Includes bibliographical references. Frontmatter -- Preface -- Contents -- Chapter 1. Auxiliary information from functional analysis and theory of differential equations -- Chapter 2. The weak approximation method -- Chapter 3. Identification problems for parabolic equations with Cauchy data -- Chapter 4. The identification of the source function for a system of composite type and parabolic equation. The behavior of the problem's solution under t -> + ∞ -- Chapter 5. The problem of determining the coefficient in a parabolic equation and some properties of its solution -- Chapter 6. Two unknown coefficients of a parabolic type equation -- Chapter 7. Some inverse boundary value problems -- BibliographyThis monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied. Inverse and ill-posed problems series.Differential equations, PartialInverse problems (Differential equations)Mathematical physicsCauchy.Coefficients.Composite Type.Fourier.Hyperbolic.Identification Problems.Parabolic.Differential equations, Partial.Inverse problems (Differential equations)Mathematical physics.530.15/5353Belov Yu. Ya1689590MiAaPQMiAaPQMiAaPQBOOK9910824136703321Inverse problems for partial differential equations4064758UNINA