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Regularity of Standing Waves on Lipschitz Domains

  Published:2012-05-21
 Printed: Jun 2013
  • Michael Taylor,
    Mathematics Department, University of North Carolina, Chapel Hill NC 27599, USA
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Abstract

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: standing waves, elliptic regularity, Lipschitz domain standing waves, elliptic regularity, Lipschitz domain
MSC Classifications: 35J25, 35J65 show english descriptions Boundary value problems for second-order elliptic equations
Nonlinear boundary value problems for linear elliptic equations
35J25 - Boundary value problems for second-order elliptic equations
35J65 - Nonlinear boundary value problems for linear elliptic equations
 

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