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Asymptotic solution of the Cauchy problem for equations with complex characteristics

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Publication:1150769
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DOI10.1007/BF01084109zbMath0457.35096OpenAlexW1993435571MaRDI QIDQ1150769

Valeri V. Kucherenko

Publication date: 1980

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084109


zbMATH Keywords

asymptotic solutionCauchy problemcomplex characteristics


Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for PDEs with pseudodifferential operators (35S10)


Related Items (3)

Dissipative-asymptotic manifolds ⋮ Asymptotic Lagrangian manifolds and the complex WKB method ⋮ An approach to finding the asymptotics of polynomials given by recurrence relations



Cites Work

  • Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space
  • ASYMPTOTIC BEHAVIOR OF GREEN'S FUNCTIONS FOR PARABOLIC AND ELLIPTIC EQUATIONS WITH CONSTANT COEFFICIENTS
  • Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions
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