Skip to main content

Existence of solutions

  • 253 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 522)

Keywords

  • Compact Support
  • Radiation Condition
  • Existence Theorem
  • Boundary Data
  • Wave Operator

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.99
Price excludes VAT (Canada)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References for Chapter 4

  1. D. M. Eýdus, Some boundary-value problems in infinite regions, Izv. Akad. Nauk SSSR. Ser. Mat. 27 (1963), 1055–1080. =A.M.S. Transl. (2) 53 (1966), 139–168.

    MathSciNet  Google Scholar 

  2. P. D. Lax and R. S. Phillips, Scattering Theory for the Acoustic Equation in an Even Number of Space Dimensions, Indiana U. Math. J. 22 (1972), 101–134.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J. B. McLeod, The Analytic Continuation of the Green's Function Associated with Obstacle Scattering, Quart. J. Math. Oxford, Ser. (2), 18 (1967), 169–180.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. C. S. Morawetz and D. Ludwig, An inequality for the reduced wave operator and the justification of geometrical optics, Comm. Pure Appl. Math. 21 (1968), 187–203.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. N. Myers and J. Serrin, The Exterior Dirichlet Problem for Second Order Elliptic Partial Differential Equations, J. Math. and Mech. 9 (1960), 513–538.

    MathSciNet  MATH  Google Scholar 

  6. J. R. Schulenberger and C. S. Wilcox, The Limiting Absorbtion Principle and Spectral Theory for Steady-State Wave Propagation in Inhomeogeneous Anisotropic Media, Archive for Rat. Mech. and Anal. 41 (1971), 46–65.

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this chapter

Cite this chapter

Bloom, C.O., Kazarinoff, N.D. (1976). Existence of solutions. In: Short Wave Radiation Problems in Inhomogeneous Media: Asymptotic Solutions. Lecture Notes in Mathematics, vol 522. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079582

Download citation

  • DOI: https://doi.org/10.1007/BFb0079582

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07698-8

  • Online ISBN: 978-3-540-38229-4

  • eBook Packages: Springer Book Archive