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Second order incomplete expiring Cauchy problems

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Publication:1824842
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DOI10.1007/BF02573286zbMath0683.47022MaRDI QIDQ1824842

Ralph J. De Laubenfels

Publication date: 1989

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134976


zbMATH Keywords

square root\(C_ 0\) semigroupsecond order Cauchy problem


Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05)


Related Items

On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation ⋮ The associated operator Legendre function and the incomplete Cauchy problem ⋮ Incomplete iterated Cauchy problems ⋮ Semigroups of operators, cosine operator functions, and linear differential equations



Cites Work

  • Unnamed Item
  • Semigroups of operators and second-order Cauchy problems
  • Fractional powers of closed operators and the semigroups generated by them
  • Semigroups of linear operators and applications to partial differential equations
  • Singular perturbation and boundary layer for an abstract Cauchy problem
  • Semigroups and second-order differential equations
  • The Cauchy problem with incomplete initial data in Banach spaces
  • Une généralisation du problème de Cauchy
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