Skip to main content

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 258))

  • 755 Accesses

Abstract

Solutions of elliptic equations represent steady-state solutions; i.e., solutions which do not vary with time. They often describe the asymptotic states achieved by solutions of time-dependent problems, as t → ∞. Physically speaking, all the “rough spots” smooth out by the time this steady state is achieved.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

eBook
USD 9.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Smoller, J. (1983). Second-Order Linear Elliptic Equations. In: Shock Waves and Reaction—Diffusion Equations. Grundlehren der mathematischen Wissenschaften, vol 258. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0152-3_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-0152-3_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0154-7

  • Online ISBN: 978-1-4684-0152-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics