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Differential equations with operator coefficients : with applications to boundary value problems for partial differential equations / Vladimir Kozlov, Vladimir Maz'ya

Por: Colaborador(es): Tipo de material: TextoTextoSeries Detalles de publicación: Berlin : Springer, c1999Descripción: xx, 442 p. : il. ; 25 cmISBN:
  • 3540651195
  • 9783540651192
Tema(s): Clasificación LoC:
  • QA 372 K69
Contenidos:
Differential equations with constant operator coefficients -- Power-exponential zeros -- Differential operator equations in weighted sobolev spaces -- Solutions in a local sobolev space -- Two weight L2-estimates -- Differential equation with variable operator coefficients -- Existence, uniqueness and pointwise estimates -- Corollaries of previous results under special assumptions on L(t,Dt) -- Two-weight L2-estimates for equations with variable coefficients -- Connection of solutions corresponding to different strips -- Applications to the case of perturbations vanishing at infinity -- Variants and extensions of the previous theory -- Asymptotic theory of operator differential equations -- Complete asymptotic expansions under exponential and power perturbations of A (Dt) -- Reduction to a first order system -- General asymptotic representation -- Power-exponential asymptotics -- The case of one simple eigenvalue on the line -- Several simple eigenvalue on the line -- The case of a simple multiple eigenvalue -- Holomorphic operator functions
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Libros para consulta en sala Libros para consulta en sala Biblioteca Antonio Enriquez Savignac Biblioteca Antonio Enriquez Savignac COLECCIÓN RESERVA QA 372 K69 (Navegar estantería(Abre debajo)) 1 Tránsito Ing. Telematica 029222
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Differential equations with constant operator coefficients -- Power-exponential zeros -- Differential operator equations in weighted sobolev spaces -- Solutions in a local sobolev space -- Two weight L2-estimates -- Differential equation with variable operator coefficients -- Existence, uniqueness and pointwise estimates -- Corollaries of previous results under special assumptions on L(t,Dt) -- Two-weight L2-estimates for equations with variable coefficients -- Connection of solutions corresponding to different strips -- Applications to the case of perturbations vanishing at infinity -- Variants and extensions of the previous theory -- Asymptotic theory of operator differential equations -- Complete asymptotic expansions under exponential and power perturbations of A (Dt) -- Reduction to a first order system -- General asymptotic representation -- Power-exponential asymptotics -- The case of one simple eigenvalue on the line -- Several simple eigenvalue on the line -- The case of a simple multiple eigenvalue -- Holomorphic operator functions

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