On the radius of spatial analyticity for semilinear symmetric hyperbolic systems
Journal of Differential Equations(2014)
摘要
We study the problem of propagation of analytic regularity for semi-linear symmetric hyperbolic systems. We adopt a global perspective and we prove that if the initial datum extends to a holomorphic function in a strip of radius (= width) ε0, the same happens for the solution u(t,⋅) for a certain radius ε(t), as long as the solution exists. Our focus is on precise lower bounds on the spatial radius of analyticity ε(t) as t grows.
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关键词
35L45,35A20,35S10,35Q35
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