Skip to main content Accessibility help
×
Home

A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order

  • G. F. D. Duff (a1)

Extract

In the theory of hyperbolic differential equations a mixed boundary value problem involves two types of auxiliary conditions which may be described as initial and boundary conditions respectively. The problem of Cauchy, in which only initial conditions are present, has been studied in great detail, starting with the early work of Riemann and Volterra, and the well-known monograph of Hadamard (4). A modern treatment of great generality has been given by Leray (7).

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order
      Available formats
      ×

Copyright

References

Hide All
1. Banach, S. and Saks, S., Sur le convergence forte dans les champs Lp , Studia Math., 2 (1930), 5157.
2. Duff, G. F. D., Uniqueness in boundary value problems for the second order hyperbolic equation, Can. J. Math., 8 (1956), 8696.
3. Friedrichs, K. and Lewy, H., Ueber die Eindeutigkeit und das Abhängigkeitsgebeit der Lösungen beim Anfangswenproblem linear hyperbolischer Differentialgleichungen, Math. Ann., 98 (1928), 192204.
4. Hadamard, J., Lectures on Cauchy's problem in linear partial differential equations (New York, 1952).
5. Krzyzanski, M. and Schauder, J., Quastlineare Differentialgletchungen zweiter Ordnung vom hyperbolischen Typus: Gemischte Randwertaufgaben, Studia Math., 6 (1936), 162189.
6. Ladyshenskaya, O., Smesannaya zadaca dlya gyperboliceskova uravneniya (Moscow, 1953).
7. Leray, J., Hyperbolic Differential Equations (Princeton, 1953).
8. Robinson, A. and Campbell, L., Mixed problems for hyperbolic partial differential equations, Proc. London Math. Soc. (3), 5 (1955), 129147.
9. Schauder, J., Das Anfangswertproblem einer quasilinearen hyperbolischen Differentialgleichung …, Fund. Math., 24 (1935), 213246.
10. Schauder, J., Gemischte Randwertaufgaben bei Pamellen Differentialgleichungen vom hyperbolischen Typus, Studia Math., 6 (1936), 190198.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order

  • G. F. D. Duff (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed