Geodesic
Regularity of Standing Waves on Lipschitz Domains
Canadian journal of mathematics, Tome 65 (2013) no. 3, pp. 702-720

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DOI

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.
DOI : 10.4153/CJM-2012-014-3
Mots-clés : 35J25, 35J65, standing waves, elliptic regularity, Lipschitz domain 
Taylor, Michael. Regularity of Standing Waves on Lipschitz Domains. Canadian journal of mathematics, Tome 65 (2013) no. 3, pp. 702-720. doi: 10.4153/CJM-2012-014-3
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     author = {Taylor, Michael},
     title = {Regularity of {Standing} {Waves} on {Lipschitz} {Domains}},
     journal = {Canadian journal of mathematics},
     pages = {702--720},
     year = {2013},
     volume = {65},
     number = {3},
     doi = {10.4153/CJM-2012-014-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-014-3/}
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