Behavior of Solutions of the Semilinear Heat Equation in Vanishing Time and Controllability

Alexander Y. Khapalov
Additional contact information
Alexander Y. Khapalov: Washington State University, Department of Mathematics and Statistics

Chapter Chapter 4 in Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations, 2017, pp 41-62 from Springer

Abstract: Abstract In this chapter we discuss the problem of approximate controllability of the semilinear heat equation with, possibly, superlinear nonlinear terms in u and ∇u, governed by degenerate controls. Our approach focuses on the study of the asymptotic behavior in vanishing time of those solutions to the semilinear heat equation that are generated by controls solving the controllability problem at hand. The provided examples include the static distributed and time-dependent lumped controls.

Date: 2017
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-60414-5_4

Ordering information: This item can be ordered from
http://www.springer.com/9783319604145

DOI: 10.1007/978-3-319-60414-5_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().