Skip to main content
SpringerLink
Log in

Singular Degenerate Problems Occurring in Atmospheric Dispersion of Pollutants

  • Conference paper
  • First Online:
Book cover Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 236))

  • 1305 Accesses

Abstract

The boundary value problems for singular degenerate linear and regular degenerate nonlinear differential-operator equations are studied. We prove the well-posedeness of the linear problem and optimal regularity result for the nonlinear problem which occur in fluid mechanics, environmental engineering and in the atmospheric dispersion of pollutants.

Mathematics Subject Classification (2010). Primary 34G10; Secondary 35J25, 35J70.

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

Access this chapter

Log in via an institution
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
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. Amann H., Linear and quasi-linear equations,1, Birkhäuser, Basel 1995.

    Google Scholar 

  2. Denk R., Hieber M., Prüss J., R-boundedness, Fourier multipliers and problems of elliptic and parabolic type, Mem. Amer. Math. Soc. 166 (2003), n. 788.

    Google Scholar 

  3. Shakhmurov V.B., Shahmurova A., Nonlinear abstract boundary value problems atmospheric dispersion of pollutants, Nonlinear Analysis, World Applications, 11 no. 2 (2010), 932–951.

    Article  MathSciNet  MATH  Google Scholar 

  4. Shakhmurov V.B., Coercive boundary value problems for regular degenerate differential- operator equations, Journal of Math. Anal. Appl., 292 no. 2 (2004), 605–620.

    Article  MathSciNet  MATH  Google Scholar 

  5. Shakhmurov V.B., Linear and nonlinear abstract equations with parameters, Nonlinear Analysis, Method and Applications, 73 (2010), 2383–2397.

    MathSciNet  MATH  Google Scholar 

  6. Triebel H., Interpolation theory, Function spaces, Differential operators, North- Holland, Amsterdam, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Environmental Sciences, Okan University, Akfirat, Tuzla, 34959, Istanbul, Turkey

    Aida Sahmurova

  2. Engineering Faculty, Okan University, Akfirat, Tuzla, 34959, Istanbul, Turkey

    Veli B. Shakhmurov

Authors
  1. Aida Sahmurova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Veli B. Shakhmurov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aida Sahmurova .

Editor information

Editors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de Sevilla, Sevilla, Spain

    Manuel Cepedello Boiso

  2. Department of Mathematics, The Royal Institute of Technology, Stockholm, Sweden

    Håkan Hedenmalm

  3. Department of Mathematics & Computer Sci, Free University Amsterdam, Amsterdam, The Netherlands

    Marinus A. Kaashoek

  4. Departamento de Análisis Matemático, Universidad de Sevilla, Sevilla, Spain

    Alfonso Montes Rodríguez

  5. Department of Mathematics, Brown University, Providence, Rhode Island, USA

    Sergei Treil

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Basel

About this paper

Cite this paper

Sahmurova, A., Shakhmurov, V.B. (2014). Singular Degenerate Problems Occurring in Atmospheric Dispersion of Pollutants. In: Cepedello Boiso, M., Hedenmalm, H., Kaashoek, M., Montes Rodríguez, A., Treil, S. (eds) Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation. Operator Theory: Advances and Applications, vol 236. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0648-0_28

Download citation

Publish with us

Policies and ethics

Search

Navigation