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Vector-Valued Laplace Transforms and Cauchy Problems
Vector-Valued Laplace Transforms and Cauchy Problems
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Preface to the First Edition.- Preface to the Second Edition.- I Laplace Transforms and Well-Posedness of Cauchy Problems.- 1 The Laplace Integral.- 2 The Laplace Transform.- 3 Cauchy Problems.- II Tauberian Theorems and Cauchy Problems.- 4 Asymptotics of Laplace Transforms.- 5 Asymptotics of Solutions of Cauchy Problems.- III Applications and Examples.- 6 The Heat Equation.- 7 The Wave Equation.- 8 Translation Invariant Operators on Lp(Rn).- A Vector-valued Holomorphic Functions.- B Closed Ope…
  • Leidėjas:
  • Metai: 2013
  • Puslapiai: 540
  • ISBN-10: 3034803273
  • ISBN-13: 9783034803274
  • Formatas: 15.5 x 22.9 x 3.1 cm, minkšti viršeliai
  • Kalba: Anglų

Vector-Valued Laplace Transforms and Cauchy Problems (el. knyga) (skaityta knyga) | knygos.lt

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Preface to the First Edition.- Preface to the Second Edition.- I Laplace Transforms and Well-Posedness of Cauchy Problems.- 1 The Laplace Integral.- 2 The Laplace Transform.- 3 Cauchy Problems.- II Tauberian Theorems and Cauchy Problems.- 4 Asymptotics of Laplace Transforms.- 5 Asymptotics of Solutions of Cauchy Problems.- III Applications and Examples.- 6 The Heat Equation.- 7 The Wave Equation.- 8 Translation Invariant Operators on Lp(Rn).- A Vector-valued Holomorphic Functions.- B Closed Operators.- C Ordered Banach Spaces.- D Banach Spaces which Contain c0.- E Distributions and Fourier Multipliers.- Bibliography.- Notation.- Index.

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  • Autorius: Wolfgang Arendt
  • Leidėjas:
  • Metai: 2013
  • Puslapiai: 540
  • ISBN-10: 3034803273
  • ISBN-13: 9783034803274
  • Formatas: 15.5 x 22.9 x 3.1 cm, minkšti viršeliai
  • Kalba: Anglų

Preface to the First Edition.- Preface to the Second Edition.- I Laplace Transforms and Well-Posedness of Cauchy Problems.- 1 The Laplace Integral.- 2 The Laplace Transform.- 3 Cauchy Problems.- II Tauberian Theorems and Cauchy Problems.- 4 Asymptotics of Laplace Transforms.- 5 Asymptotics of Solutions of Cauchy Problems.- III Applications and Examples.- 6 The Heat Equation.- 7 The Wave Equation.- 8 Translation Invariant Operators on Lp(Rn).- A Vector-valued Holomorphic Functions.- B Closed Operators.- C Ordered Banach Spaces.- D Banach Spaces which Contain c0.- E Distributions and Fourier Multipliers.- Bibliography.- Notation.- Index.

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