The Cauchy problem for quasilinear SG-hy
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Marco Cappiello; Luisa Zanghirati
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Article
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2007
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John Wiley and Sons
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English
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## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) โ [0, __T__ ] ร โ^__n__^ and presenting a linear growth for |__x__ | โ โ. We prove wellโposedness in the Schwartz space __๐ฎ__ (โ^__n__^ ). The result is obtained by d