Skip to main content

Lp decay rates, p bit (≤∞), and energy decay in nonbicharacteristic cones for first order hyperbolic systems

  • 955 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 446)

Keywords

  • Wave Equation
  • Cauchy Problem
  • Energy Decay
  • Cauchy Data
  • Uniform Decay

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   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
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.

Bibliography

  1. BUSEMAN, H., Convex Surfaces, Interscience, New York, 1958.

    Google Scholar 

  2. HELGASON, S. The Radon transform on Euclidean spaces ..., Acta Math. 113 (1965), 93–106.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. JOHN, F. Plane Waves and Spherical Means Applied to Partial Differential Equations, Interscience, New York, 1955.

    MATH  Google Scholar 

  4. LAX, P. D. and PHILLIPS, R. S., Scattering theory, Rocky Mountain J. of Math. 1 (1971), 173–223.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. LUDWIG, D., Examples of the behavior of hyperbolic equations for large times, J. Math. Mech. 12 (1963), 557–566.

    MathSciNet  MATH  Google Scholar 

  6. LUDWIG, D., The Radon transform on Euclidean spaces, Comm. Pure Appl. Math. 19 (1966), 49–81.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. SEGAL, I., Quantization and dispersion for nonlinear relativistic equations, in Mathematical Theory of Elementary Particles, M. I. T. Press, Cambridge, Mass. (1966), 79–108.

    Google Scholar 

  8. STEIN, E. M., Singular Integrals and Differentrability Properties of Functions, Princeton University Press, Princeton, 1970.

    Google Scholar 

  9. WAHL, W. v., Lp-decay rates for homogeneous wave equations, Math. Z. 120 (1971), 93–106.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. WILCOX, C. H., Wave operators and asymptotic solutions of wave propagation problems of classical physics, Arch. Rat. Mech. Anal. 22 (1966), 37–78.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Costa, D.G. (1975). Lp decay rates, p bit (≤∞), and energy decay in nonbicharacteristic cones for first order hyperbolic systems. In: Goldstein, J.A. (eds) Partial Differential Equations and Related Topics. Lecture Notes in Mathematics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070600

Download citation

  • DOI: https://doi.org/10.1007/BFb0070600

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07148-8

  • Online ISBN: 978-3-540-37440-4

  • eBook Packages: Springer Book Archive