On the continuity of the solution operator to the wave map system

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We investigate the continuity properties of the solution operator to the wave map system from ℝ × ℝn to a general nonflat target of arbitrary dimension, and we prove by an explicit class of counterexamples that this map is not uniformly continuous in the critical norms on any neighborhood of 0.

Original languageEnglish
Pages (from-to)357-383
Number of pages27
JournalCommunications on Pure and Applied Mathematics
Volume57
Issue number3
Publication statusPublished - 2004 Mar
Externally publishedYes

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Uniformly continuous
Operator
Counterexample
Norm
Target
Arbitrary
Class

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On the continuity of the solution operator to the wave map system. / D'Ancona, Piero; Gueorguiev, Vladimir Simeonov.

In: Communications on Pure and Applied Mathematics, Vol. 57, No. 3, 03.2004, p. 357-383.

Research output: Contribution to journalArticle

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