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Regularity of Standing Waves on Lipschitz Domains

Published online by Cambridge University Press:  20 November 2018

Michael Taylor
Michael Taylor*
Affiliation:
Mathematics Department, University of North Carolina, Chapel Hill NC 27599, USA, e-mail: met@math.unc.edu
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Abstract

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We analyze the regularity of standing wave solutions to nonlinear Schrödinger equations of power type on bounded domains, concentrating on Lipschitz domains. We establish optimal regularity results in this setting, in Besov spaces and in Hölder spaces.

Keywords

35J2535J65standing waveselliptic regularityLipschitz domain
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 65 , Issue 3 , 01 June 2013 , pp. 702 - 720
Copyright
Copyright © Canadian Mathematical Society 2013

References

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