The Cauchy problem for quasilinear SG-hy
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Marco Cappiello; Luisa Zanghirati
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Article
📅
2007
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John Wiley and Sons
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English
⚖ 187 KB
## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) ∈ [0, __T__ ] × ℝ^__n__^ and presenting a linear growth for |__x__ | → ∞. We prove well‐posedness in the Schwartz space __𝒮__ (ℝ^__n__^ ). The result is obtained by d