Skip to main content

On Well-Posedness of Problems for Nonclassical Systems of Equations

  • Chapter
Book cover Complex Methods for Partial Differential Equations

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 6))

Abstract

Initial and mixed (initial boundary) value problems for the system of partial differential equations ∂2 u/∂t 2u−λ graddiv u = 0 with real parameter λ are considered. Some explicit formulas for solutions of the problems are derived.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bitsadze, A.V.: Some classes of partial differential equations. Nauka, Moscow, 1981 (Russian); Gordon and Breach, New York etc., 1988.

    MATH  Google Scholar 

  2. Dzhuraev; A.: Methods of singular integral equations. Nauka, Moscow, 1987 (Russian); Langman, Harlow, 1992.

    Google Scholar 

  3. Safarov, D.Kh.: Multidimensional nonclassical partial differential equations. Donish, Dushanbe, 1996 (Russian).

    Google Scholar 

  4. Safarov, D.Kh.: Elliptic regularization of systems of partial differential equations of composite type. Dokl. Akad. Nauk SSSR 311 (1990), 36–39;

    MathSciNet  Google Scholar 

  5. Safarov, D.Kh.: Soviet Math. Dokl. 41 (1990), 219–221.

    MathSciNet  MATH  Google Scholar 

  6. Lavrentiev, M.M.: Ill-posed problems for differential equations. Novosibirsk Univ. Press, Novosibirsk, 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Kluwer Academic Publishers

About this chapter

Cite this chapter

Safarov, D.K. (1999). On Well-Posedness of Problems for Nonclassical Systems of Equations. In: Begehr, H.G.W., Celebi, A.O., Tutschke, W. (eds) Complex Methods for Partial Differential Equations. International Society for Analysis, Applications and Computation, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3291-6_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-3291-6_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3293-0

  • Online ISBN: 978-1-4613-3291-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics