Skip to main content

Exact Boundary Controllability of Nodal Profile for 1-D Quasilinear Wave Equations on a Planar Tree-Like Network of Strings

  • Chapter
  • First Online:
Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

  • 448 Accesses

Abstract

In this Chapter, we will generalize the exact boundary controllability of nodal profile for 1-D quasilinear wave equations in a single string , discussed in Chap. 6, to that on a planar tree-like network of strings with general topology (see Wang and Gu [22]. For the corresponding result on the exact boundary controllability , cf. Gu and Li [6]).

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tatsien Li .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 The Author(s)

About this chapter

Cite this chapter

Li, T., Wang, K., Gu, Q. (2016). Exact Boundary Controllability of Nodal Profile for 1-D Quasilinear Wave Equations on a Planar Tree-Like Network of Strings. In: Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems. SpringerBriefs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-10-2842-7_7

Download citation

Publish with us

Policies and ethics