TY - JOUR
T1 - Sharp Morawetz estimates
AU - Ozawa, Tohru
AU - Rogers, Keith M.
N1 - Funding Information:
1Supported by the JSPS grant 11133 (Japan), the ERC grant 277778 (Europe), and the MINECO grants MTM2010-16518 and SEV-2011-0087 (Spain).
PY - 2013/10
Y1 - 2013/10
N2 - We prove sharp Morawetz estimates - global in time with a singular weight in the spatial variables - for the linear wave, Klein-Gordon, and Schrödinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.
AB - We prove sharp Morawetz estimates - global in time with a singular weight in the spatial variables - for the linear wave, Klein-Gordon, and Schrödinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.
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U2 - 10.1007/s11854-013-0031-0
DO - 10.1007/s11854-013-0031-0
M3 - Article
AN - SCOPUS:84888019788
SN - 0021-7670
VL - 121
SP - 163
EP - 175
JO - Journal d'Analyse Mathematique
JF - Journal d'Analyse Mathematique
IS - 1
ER -