Weak solutions and supersolutions in L 1 for reaction-diffusion systems

Michel Pierre ()
Additional contact information
Michel Pierre: Campus de Ker Lann, Antenne de Bretagne de l’ENS Cachan et Institut de Recherche Mathématique de Rennes

A chapter in Nonlinear Evolution Equations and Related Topics, 2003, pp 153-168 from Springer

Abstract: Abstract We prove here that limits of nonnegative solutions to reaction-diffusion systems whose nonlinearities are bounded in L 1 always converge to supersolutions of the system. The motivation comes from the question of global existence in time of solutions for the wide class of systems preserving positivity and for which the total mass of the solution is uniformly bounded. We prove that, for a large subclass of these systems, weak solutions exist globally.

Keywords: 35K10; 35K45; 35K57; parabolic system; reaction-diffusion; blowup; global existence; semilinear system (search for similar items in EconPapers)
Date: 2003
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:978-3-0348-7924-8_8

Ordering information: This item can be ordered from
http://www.springer.com/9783034879248

DOI: 10.1007/978-3-0348-7924-8_8

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 ().