Radial solutions to the wave equation |
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| Authors: | Leonardo Colzani Alice Cominardi Krzysztof Stempak |
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| Institution: | (1) Dipartimento di Matematica, Università degli Studi di Milano-Bicocca, via Bicocca degli Arcimboldi 8, 20126 Milano, Italia, e-mail: leonardo@matapp.unimib.it, IT;(2) Instytut Matematyki Politechnika Wrocławska, Wyb. Wyspia’nskiego 27, 50-370 Wrocław, Poland, e-mail: stempak@im.pwr.wroc.pl, PL |
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| Abstract: | We study some boundedness properties of radial solutions to the Cauchy problem associated to the wave equation (∂
t
2-▵
x
)u(t,x)=0 and meanwhile we give a new proof of the solution formula.
Received: July 7, 1998?Published online: March 19, 2002 |
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| Keywords: | , wave equation –, radial solutions –, weak-type estimates Mathematics Subject Classification (2000), Primary: 35L05,,,,,,35Q05 |
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