Open AccessRegularity and scattering for the wave equation with a critical nonlinear damping
Author(s) -
Grozdena Todorova,
Davut Uğurlu,
Borislav Yordanov
Publication year - 2009
Publication title -
journal of the mathematical society of japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.047
H-Index - 36
eISSN - 1881-1167
pISSN - 0025-5645
DOI - 10.2969/jmsj/06120625
Subject(s) - mathematics , nonlinear system , mathematical analysis , scattering , wave equation , physics , optics , quantum mechanics
We show that the nonlinear wave equation u + u3 t = 0 is glob- ally well-posed in radially symmetric Sobolev spaces Hk rad(R 3) ◊ Hk 1 rad (R 3)
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